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Simplifying 4(5 + -3m) + -9 = 3m + -4 (5 * 4 + -3m * 4) + -9 = 3m + -4 (20 + -12m) + -9 = 3m + -4 Reorder the terms: 20 + -9 + -12m = 3m + -4 Combine like terms: 20 + -9 = 11 11 + -12m = 3m + -4 Reorder the terms: 11 + -12m = -4 + 3m Solving 11 + -12m = -4 + 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. 11 + -12m + -3m = -4 + 3m + -3m Combine like terms: -12m + -3m = -15m 11 + -15m = -4 + 3m + -3m Combine like terms: 3m + -3m = 0 11 + -15m = -4 + 0 11 + -15m = -4 Add '-11' to each side of the equation. 11 + -11 + -15m = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -15m = -4 + -11 -15m = -4 + -11 Combine like terms: -4 + -11 = -15 -15m = -15 Divide each side by '-15'. m = 1 Simplifying m = 1
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