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Simplifying 15 + -1(3m + 8) = 5 + 4m + -12 Reorder the terms: 15 + -1(8 + 3m) = 5 + 4m + -12 15 + (8 * -1 + 3m * -1) = 5 + 4m + -12 15 + (-8 + -3m) = 5 + 4m + -12 Combine like terms: 15 + -8 = 7 7 + -3m = 5 + 4m + -12 Reorder the terms: 7 + -3m = 5 + -12 + 4m Combine like terms: 5 + -12 = -7 7 + -3m = -7 + 4m Solving 7 + -3m = -7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 7 + -3m + -4m = -7 + 4m + -4m Combine like terms: -3m + -4m = -7m 7 + -7m = -7 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -7m = -7 + 0 7 + -7m = -7 Add '-7' to each side of the equation. 7 + -7 + -7m = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -7m = -7 + -7 -7m = -7 + -7 Combine like terms: -7 + -7 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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