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Simplifying -7m + -1[3(12 + -3m) + 13] = 9m -7m + -1[(12 * 3 + -3m * 3) + 13] = 9m -7m + -1[(36 + -9m) + 13] = 9m Reorder the terms: -7m + -1[36 + 13 + -9m] = 9m Combine like terms: 36 + 13 = 49 -7m + -1[49 + -9m] = 9m -7m + [49 * -1 + -9m * -1] = 9m -7m + [-49 + 9m] = 9m Reorder the terms: -49 + -7m + 9m = 9m Combine like terms: -7m + 9m = 2m -49 + 2m = 9m Solving -49 + 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. -49 + 2m + -9m = 9m + -9m Combine like terms: 2m + -9m = -7m -49 + -7m = 9m + -9m Combine like terms: 9m + -9m = 0 -49 + -7m = 0 Add '49' to each side of the equation. -49 + 49 + -7m = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -7m = 0 + 49 -7m = 0 + 49 Combine like terms: 0 + 49 = 49 -7m = 49 Divide each side by '-7'. m = -7 Simplifying m = -7
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