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Simplifying 4(1 + -3m) + 5 = 3(m + 5) (1 * 4 + -3m * 4) + 5 = 3(m + 5) (4 + -12m) + 5 = 3(m + 5) Reorder the terms: 4 + 5 + -12m = 3(m + 5) Combine like terms: 4 + 5 = 9 9 + -12m = 3(m + 5) Reorder the terms: 9 + -12m = 3(5 + m) 9 + -12m = (5 * 3 + m * 3) 9 + -12m = (15 + 3m) Solving 9 + -12m = 15 + 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. 9 + -12m + -3m = 15 + 3m + -3m Combine like terms: -12m + -3m = -15m 9 + -15m = 15 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + -15m = 15 + 0 9 + -15m = 15 Add '-9' to each side of the equation. 9 + -9 + -15m = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -15m = 15 + -9 -15m = 15 + -9 Combine like terms: 15 + -9 = 6 -15m = 6 Divide each side by '-15'. m = -0.4 Simplifying m = -0.4
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