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Simplifying 4(5 + -3m) * 9 = 3m + -9 Reorder the terms for easier multiplication: 4 * 9(5 + -3m) = 3m + -9 Multiply 4 * 9 36(5 + -3m) = 3m + -9 (5 * 36 + -3m * 36) = 3m + -9 (180 + -108m) = 3m + -9 Reorder the terms: 180 + -108m = -9 + 3m Solving 180 + -108m = -9 + 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. 180 + -108m + -3m = -9 + 3m + -3m Combine like terms: -108m + -3m = -111m 180 + -111m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 180 + -111m = -9 + 0 180 + -111m = -9 Add '-180' to each side of the equation. 180 + -180 + -111m = -9 + -180 Combine like terms: 180 + -180 = 0 0 + -111m = -9 + -180 -111m = -9 + -180 Combine like terms: -9 + -180 = -189 -111m = -189 Divide each side by '-111'. m = 1.702702703 Simplifying m = 1.702702703
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