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Simplifying 3(2m + -3) = 5(m + 1) Reorder the terms: 3(-3 + 2m) = 5(m + 1) (-3 * 3 + 2m * 3) = 5(m + 1) (-9 + 6m) = 5(m + 1) Reorder the terms: -9 + 6m = 5(1 + m) -9 + 6m = (1 * 5 + m * 5) -9 + 6m = (5 + 5m) Solving -9 + 6m = 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. -9 + 6m + -5m = 5 + 5m + -5m Combine like terms: 6m + -5m = 1m -9 + 1m = 5 + 5m + -5m Combine like terms: 5m + -5m = 0 -9 + 1m = 5 + 0 -9 + 1m = 5 Add '9' to each side of the equation. -9 + 9 + 1m = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1m = 5 + 9 1m = 5 + 9 Combine like terms: 5 + 9 = 14 1m = 14 Divide each side by '1'. m = 14 Simplifying m = 14
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