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Simplifying 5(m + -1) = 3(3m + 5) Reorder the terms: 5(-1 + m) = 3(3m + 5) (-1 * 5 + m * 5) = 3(3m + 5) (-5 + 5m) = 3(3m + 5) Reorder the terms: -5 + 5m = 3(5 + 3m) -5 + 5m = (5 * 3 + 3m * 3) -5 + 5m = (15 + 9m) Solving -5 + 5m = 15 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -5 + 5m + -9m = 15 + 9m + -9m Combine like terms: 5m + -9m = -4m -5 + -4m = 15 + 9m + -9m Combine like terms: 9m + -9m = 0 -5 + -4m = 15 + 0 -5 + -4m = 15 Add '5' to each side of the equation. -5 + 5 + -4m = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = 15 + 5 -4m = 15 + 5 Combine like terms: 15 + 5 = 20 -4m = 20 Divide each side by '-4'. m = -5 Simplifying m = -5
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