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Simplifying 3(4m + 5) = 3m + -3 Reorder the terms: 3(5 + 4m) = 3m + -3 (5 * 3 + 4m * 3) = 3m + -3 (15 + 12m) = 3m + -3 Reorder the terms: 15 + 12m = -3 + 3m Solving 15 + 12m = -3 + 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. 15 + 12m + -3m = -3 + 3m + -3m Combine like terms: 12m + -3m = 9m 15 + 9m = -3 + 3m + -3m Combine like terms: 3m + -3m = 0 15 + 9m = -3 + 0 15 + 9m = -3 Add '-15' to each side of the equation. 15 + -15 + 9m = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 9m = -3 + -15 9m = -3 + -15 Combine like terms: -3 + -15 = -18 9m = -18 Divide each side by '9'. m = -2 Simplifying m = -2
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