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Simplifying 3(3m + -3) = 5(3m + 2) Reorder the terms: 3(-3 + 3m) = 5(3m + 2) (-3 * 3 + 3m * 3) = 5(3m + 2) (-9 + 9m) = 5(3m + 2) Reorder the terms: -9 + 9m = 5(2 + 3m) -9 + 9m = (2 * 5 + 3m * 5) -9 + 9m = (10 + 15m) Solving -9 + 9m = 10 + 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. -9 + 9m + -15m = 10 + 15m + -15m Combine like terms: 9m + -15m = -6m -9 + -6m = 10 + 15m + -15m Combine like terms: 15m + -15m = 0 -9 + -6m = 10 + 0 -9 + -6m = 10 Add '9' to each side of the equation. -9 + 9 + -6m = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -6m = 10 + 9 -6m = 10 + 9 Combine like terms: 10 + 9 = 19 -6m = 19 Divide each side by '-6'. m = -3.166666667 Simplifying m = -3.166666667
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