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Simplifying -8(2m + -9) = -1(-2 + 9m) Reorder the terms: -8(-9 + 2m) = -1(-2 + 9m) (-9 * -8 + 2m * -8) = -1(-2 + 9m) (72 + -16m) = -1(-2 + 9m) 72 + -16m = (-2 * -1 + 9m * -1) 72 + -16m = (2 + -9m) Solving 72 + -16m = 2 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 72 + -16m + 9m = 2 + -9m + 9m Combine like terms: -16m + 9m = -7m 72 + -7m = 2 + -9m + 9m Combine like terms: -9m + 9m = 0 72 + -7m = 2 + 0 72 + -7m = 2 Add '-72' to each side of the equation. 72 + -72 + -7m = 2 + -72 Combine like terms: 72 + -72 = 0 0 + -7m = 2 + -72 -7m = 2 + -72 Combine like terms: 2 + -72 = -70 -7m = -70 Divide each side by '-7'. m = 10 Simplifying m = 10
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