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Simplifying 5(3m + -2) = 3(4 + -1m) Reorder the terms: 5(-2 + 3m) = 3(4 + -1m) (-2 * 5 + 3m * 5) = 3(4 + -1m) (-10 + 15m) = 3(4 + -1m) -10 + 15m = (4 * 3 + -1m * 3) -10 + 15m = (12 + -3m) Solving -10 + 15m = 12 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -10 + 15m + 3m = 12 + -3m + 3m Combine like terms: 15m + 3m = 18m -10 + 18m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 -10 + 18m = 12 + 0 -10 + 18m = 12 Add '10' to each side of the equation. -10 + 10 + 18m = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 18m = 12 + 10 18m = 12 + 10 Combine like terms: 12 + 10 = 22 18m = 22 Divide each side by '18'. m = 1.222222222 Simplifying m = 1.222222222
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