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Simplifying 12 + -1(4m + 4) = 2 + 3m + -15 Reorder the terms: 12 + -1(4 + 4m) = 2 + 3m + -15 12 + (4 * -1 + 4m * -1) = 2 + 3m + -15 12 + (-4 + -4m) = 2 + 3m + -15 Combine like terms: 12 + -4 = 8 8 + -4m = 2 + 3m + -15 Reorder the terms: 8 + -4m = 2 + -15 + 3m Combine like terms: 2 + -15 = -13 8 + -4m = -13 + 3m Solving 8 + -4m = -13 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 8 + -4m + -3m = -13 + 3m + -3m Combine like terms: -4m + -3m = -7m 8 + -7m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -7m = -13 + 0 8 + -7m = -13 Add '-8' to each side of the equation. 8 + -8 + -7m = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = -13 + -8 -7m = -13 + -8 Combine like terms: -13 + -8 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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