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Simplifying 3(12 + -4m) = 21 + -13m (12 * 3 + -4m * 3) = 21 + -13m (36 + -12m) = 21 + -13m Solving 36 + -12m = 21 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. 36 + -12m + 13m = 21 + -13m + 13m Combine like terms: -12m + 13m = 1m 36 + 1m = 21 + -13m + 13m Combine like terms: -13m + 13m = 0 36 + 1m = 21 + 0 36 + 1m = 21 Add '-36' to each side of the equation. 36 + -36 + 1m = 21 + -36 Combine like terms: 36 + -36 = 0 0 + 1m = 21 + -36 1m = 21 + -36 Combine like terms: 21 + -36 = -15 1m = -15 Divide each side by '1'. m = -15 Simplifying m = -15
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