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Simplifying -9m + -1[3(11 + -4m) + 2] = 10m -9m + -1[(11 * 3 + -4m * 3) + 2] = 10m -9m + -1[(33 + -12m) + 2] = 10m Reorder the terms: -9m + -1[33 + 2 + -12m] = 10m Combine like terms: 33 + 2 = 35 -9m + -1[35 + -12m] = 10m -9m + [35 * -1 + -12m * -1] = 10m -9m + [-35 + 12m] = 10m Reorder the terms: -35 + -9m + 12m = 10m Combine like terms: -9m + 12m = 3m -35 + 3m = 10m Solving -35 + 3m = 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -35 + 3m + -10m = 10m + -10m Combine like terms: 3m + -10m = -7m -35 + -7m = 10m + -10m Combine like terms: 10m + -10m = 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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