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Simplifying -3(m + -4) = 5(3m + 2) Reorder the terms: -3(-4 + m) = 5(3m + 2) (-4 * -3 + m * -3) = 5(3m + 2) (12 + -3m) = 5(3m + 2) Reorder the terms: 12 + -3m = 5(2 + 3m) 12 + -3m = (2 * 5 + 3m * 5) 12 + -3m = (10 + 15m) Solving 12 + -3m = 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. 12 + -3m + -15m = 10 + 15m + -15m Combine like terms: -3m + -15m = -18m 12 + -18m = 10 + 15m + -15m Combine like terms: 15m + -15m = 0 12 + -18m = 10 + 0 12 + -18m = 10 Add '-12' to each side of the equation. 12 + -12 + -18m = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -18m = 10 + -12 -18m = 10 + -12 Combine like terms: 10 + -12 = -2 -18m = -2 Divide each side by '-18'. m = 0.1111111111 Simplifying m = 0.1111111111
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