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Simplifying 3(3m + 13) = 5(m + -1) Reorder the terms: 3(13 + 3m) = 5(m + -1) (13 * 3 + 3m * 3) = 5(m + -1) (39 + 9m) = 5(m + -1) Reorder the terms: 39 + 9m = 5(-1 + m) 39 + 9m = (-1 * 5 + m * 5) 39 + 9m = (-5 + 5m) Solving 39 + 9m = -5 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 39 + 9m + -5m = -5 + 5m + -5m Combine like terms: 9m + -5m = 4m 39 + 4m = -5 + 5m + -5m Combine like terms: 5m + -5m = 0 39 + 4m = -5 + 0 39 + 4m = -5 Add '-39' to each side of the equation. 39 + -39 + 4m = -5 + -39 Combine like terms: 39 + -39 = 0 0 + 4m = -5 + -39 4m = -5 + -39 Combine like terms: -5 + -39 = -44 4m = -44 Divide each side by '4'. m = -11 Simplifying m = -11
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