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Solving Equations with Variables on Both Sides. 1-5. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 1. Holt McDougal Algebra 1. Example 1: Solving Equations with Variables on Both Sides. Solve 7 n – 2 = 5 n + 6. Check It Out! Example 1a. Solve 4 b + 2 = 3 b.

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  1. Solving Equations with Variables on Both Sides 1-5 Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1 Holt McDougal Algebra 1

  2. Example 1: Solving Equations with Variables on Both Sides Solve 7n – 2 = 5n + 6.

  3. Check It Out! Example 1a Solve 4b + 2 = 3b.

  4. Example 2: Simplifying Each Side BeforeSolving Equations Solve 4 – 6a + 4a = –1 – 5(7 – 2a).

  5. Check It Out! Example 2a Solve .

  6. An identity is an equation that is true for all values of the variable. An equation that is an identity has infinitely many solutions. Some equations are always false. These equations have no solutions.

  7. Example 3A: Infinitely Many Solutions or No Solutions Solve 10 – 5x + 1 = 7x + 11 – 12x.

  8. Example 3B: Infinitely Many Solutions or No Solutions Solve 12x – 3 + x = 5x – 4 + 8x.

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