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