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Simplifying 3(3m + -5) = 5(4 + -1m) Reorder the terms: 3(-5 + 3m) = 5(4 + -1m) (-5 * 3 + 3m * 3) = 5(4 + -1m) (-15 + 9m) = 5(4 + -1m) -15 + 9m = (4 * 5 + -1m * 5) -15 + 9m = (20 + -5m) Solving -15 + 9m = 20 + -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. -15 + 9m + 5m = 20 + -5m + 5m Combine like terms: 9m + 5m = 14m -15 + 14m = 20 + -5m + 5m Combine like terms: -5m + 5m = 0 -15 + 14m = 20 + 0 -15 + 14m = 20 Add '15' to each side of the equation. -15 + 15 + 14m = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 14m = 20 + 15 14m = 20 + 15 Combine like terms: 20 + 15 = 35 14m = 35 Divide each side by '14'. m = 2.5 Simplifying m = 2.5
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