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Simplifying -9m + -1[2(11 + -2m) + 14] = 7m -9m + -1[(11 * 2 + -2m * 2) + 14] = 7m -9m + -1[(22 + -4m) + 14] = 7m Reorder the terms: -9m + -1[22 + 14 + -4m] = 7m Combine like terms: 22 + 14 = 36 -9m + -1[36 + -4m] = 7m -9m + [36 * -1 + -4m * -1] = 7m -9m + [-36 + 4m] = 7m Reorder the terms: -36 + -9m + 4m = 7m Combine like terms: -9m + 4m = -5m -36 + -5m = 7m Solving -36 + -5m = 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -36 + -5m + -7m = 7m + -7m Combine like terms: -5m + -7m = -12m -36 + -12m = 7m + -7m Combine like terms: 7m + -7m = 0 -36 + -12m = 0 Add '36' to each side of the equation. -36 + 36 + -12m = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -12m = 0 + 36 -12m = 0 + 36 Combine like terms: 0 + 36 = 36 -12m = 36 Divide each side by '-12'. m = -3 Simplifying m = -3
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