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Simplifying 9m + -7 + -8 = -12(1 + -1m) + -2(2m + -7) Reorder the terms: -7 + -8 + 9m = -12(1 + -1m) + -2(2m + -7) Combine like terms: -7 + -8 = -15 -15 + 9m = -12(1 + -1m) + -2(2m + -7) -15 + 9m = (1 * -12 + -1m * -12) + -2(2m + -7) -15 + 9m = (-12 + 12m) + -2(2m + -7) Reorder the terms: -15 + 9m = -12 + 12m + -2(-7 + 2m) -15 + 9m = -12 + 12m + (-7 * -2 + 2m * -2) -15 + 9m = -12 + 12m + (14 + -4m) Reorder the terms: -15 + 9m = -12 + 14 + 12m + -4m Combine like terms: -12 + 14 = 2 -15 + 9m = 2 + 12m + -4m Combine like terms: 12m + -4m = 8m -15 + 9m = 2 + 8m Solving -15 + 9m = 2 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -15 + 9m + -8m = 2 + 8m + -8m Combine like terms: 9m + -8m = 1m -15 + 1m = 2 + 8m + -8m Combine like terms: 8m + -8m = 0 -15 + 1m = 2 + 0 -15 + 1m = 2 Add '15' to each side of the equation. -15 + 15 + 1m = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = 2 + 15 1m = 2 + 15 Combine like terms: 2 + 15 = 17 1m = 17 Divide each side by '1'. m = 17 Simplifying m = 17
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