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Solving Multi-Step Equations: Reverse Order of Operations Explained

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In this lesson, we explore the method of solving multi-step equations using the reverse order of operations. Through examples such as ( -7(p + 8) = 21 ) and ( -4(p - 5) = 12 ), we demonstrate how to simplify and isolate variables efficiently. You'll learn to handle negative coefficients, distribute properly, and combine like terms. This clear and concise guide is essential for mastering algebraic equations and building a strong foundation for more complex mathematical concepts.

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Solving Multi-Step Equations: Reverse Order of Operations Explained

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  1. 2.3 – Solving Multi-Step Equations

  2. Ex. 1 -7(p + 8) = 21 Note: REVERSE Order of Operations!

  3. Ex. 1-7(p+ 8) = 21 Note: REVERSE Order of Operations!

  4. Ex. 1-7(p+ 8) = 21 -7(p) Note: REVERSE Order of Operations!

  5. Ex. 1 -7(p + 8) = 21 -7(p) Note: REVERSE Order of Operations!

  6. Ex. 1 -7(p + 8) = 21 -7(p) + Note: REVERSE Order of Operations!

  7. Ex. 1-7(p + 8) = 21 -7(p)+ Note: REVERSE Order of Operations!

  8. Ex. 1-7(p + 8) = 21 -7(p)+ -7(8) Note: REVERSE Order of Operations!

  9. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) Note: REVERSE Order of Operations!

  10. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 Note: REVERSE Order of Operations!

  11. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p Note: REVERSE Order of Operations!

  12. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 Note: REVERSE Order of Operations!

  13. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 Note: REVERSE Order of Operations!

  14. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 Note: REVERSE Order of Operations!

  15. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 Note: REVERSE Order of Operations!

  16. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 Note: REVERSE Order of Operations!

  17. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 Note: REVERSE Order of Operations!

  18. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 Note: REVERSE Order of Operations!

  19. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 Note: REVERSE Order of Operations!

  20. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 Note: REVERSE Order of Operations!

  21. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 -7p = 77 Note: REVERSE Order of Operations!

  22. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 -7p= 77 -7 -7 Note: REVERSE Order of Operations!

  23. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 -7p= 77 -7 -7 Note: REVERSE Order of Operations!

  24. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 -7p= 77 -7 -7 p = -11 Note: REVERSE Order of Operations!

  25. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 -7p= 77 -7 -7 p = -11 Ex. 2 -4(p - 5) = 12 Note: REVERSE Order of Operations!

  26. Ex. 1 -7(p + 8) = 21 -7(p)+ -7(8) = 21 -7p - 56 = 21 + 56 +56 -7p + 0 = 77 -7p= 77 -7 -7 p = -11 Ex. 2 -4(p - 5) = 12 -4(p)– -4(5) = 12 -4p + 20 = 12 - 20 -20 -4p + 0 = -8 -4p= -8 -4 -4 p = 2 Note: REVERSE Order of Operations!

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