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Simplifying 3(2m + 1) = 3(5m + -5) Reorder the terms: 3(1 + 2m) = 3(5m + -5) (1 * 3 + 2m * 3) = 3(5m + -5) (3 + 6m) = 3(5m + -5) Reorder the terms: 3 + 6m = 3(-5 + 5m) 3 + 6m = (-5 * 3 + 5m * 3) 3 + 6m = (-15 + 15m) Solving 3 + 6m = -15 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 3 + 6m + -15m = -15 + 15m + -15m Combine like terms: 6m + -15m = -9m 3 + -9m = -15 + 15m + -15m Combine like terms: 15m + -15m = 0 3 + -9m = -15 + 0 3 + -9m = -15 Add '-3' to each side of the equation. 3 + -3 + -9m = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -9m = -15 + -3 -9m = -15 + -3 Combine like terms: -15 + -3 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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