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Simplifying -8m + 8 = 5 + -7(3m + 7) Reorder the terms: 8 + -8m = 5 + -7(3m + 7) Reorder the terms: 8 + -8m = 5 + -7(7 + 3m) 8 + -8m = 5 + (7 * -7 + 3m * -7) 8 + -8m = 5 + (-49 + -21m) Combine like terms: 5 + -49 = -44 8 + -8m = -44 + -21m Solving 8 + -8m = -44 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 8 + -8m + 21m = -44 + -21m + 21m Combine like terms: -8m + 21m = 13m 8 + 13m = -44 + -21m + 21m Combine like terms: -21m + 21m = 0 8 + 13m = -44 + 0 8 + 13m = -44 Add '-8' to each side of the equation. 8 + -8 + 13m = -44 + -8 Combine like terms: 8 + -8 = 0 0 + 13m = -44 + -8 13m = -44 + -8 Combine like terms: -44 + -8 = -52 13m = -52 Divide each side by '13'. m = -4 Simplifying m = -4
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