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Simplifying -8m + -1[2(10 + -5m) + 15] = 9m -8m + -1[(10 * 2 + -5m * 2) + 15] = 9m -8m + -1[(20 + -10m) + 15] = 9m Reorder the terms: -8m + -1[20 + 15 + -10m] = 9m Combine like terms: 20 + 15 = 35 -8m + -1[35 + -10m] = 9m -8m + [35 * -1 + -10m * -1] = 9m -8m + [-35 + 10m] = 9m Reorder the terms: -35 + -8m + 10m = 9m Combine like terms: -8m + 10m = 2m -35 + 2m = 9m Solving -35 + 2m = 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. -35 + 2m + -9m = 9m + -9m Combine like terms: 2m + -9m = -7m -35 + -7m = 9m + -9m Combine like terms: 9m + -9m = 0 -35 + -7m = 0 Add '35' to each side of the equation. -35 + 35 + -7m = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7m = 0 + 35 -7m = 0 + 35 Combine like terms: 0 + 35 = 35 -7m = 35 Divide each side by '-7'. m = -5 Simplifying m = -5
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