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Simplifying -8m + -1[3(11 + -4m) + 2] = 9m -8m + -1[(11 * 3 + -4m * 3) + 2] = 9m -8m + -1[(33 + -12m) + 2] = 9m Reorder the terms: -8m + -1[33 + 2 + -12m] = 9m Combine like terms: 33 + 2 = 35 -8m + -1[35 + -12m] = 9m -8m + [35 * -1 + -12m * -1] = 9m -8m + [-35 + 12m] = 9m Reorder the terms: -35 + -8m + 12m = 9m Combine like terms: -8m + 12m = 4m -35 + 4m = 9m Solving -35 + 4m = 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 + 4m + -9m = 9m + -9m Combine like terms: 4m + -9m = -5m -35 + -5m = 9m + -9m Combine like terms: 9m + -9m = 0 -35 + -5m = 0 Add '35' to each side of the equation. -35 + 35 + -5m = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -5m = 0 + 35 -5m = 0 + 35 Combine like terms: 0 + 35 = 35 -5m = 35 Divide each side by '-5'. m = -7 Simplifying m = -7
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