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Simplifying 9(m + 12) = -5(9 + -12m) Reorder the terms: 9(12 + m) = -5(9 + -12m) (12 * 9 + m * 9) = -5(9 + -12m) (108 + 9m) = -5(9 + -12m) 108 + 9m = (9 * -5 + -12m * -5) 108 + 9m = (-45 + 60m) Solving 108 + 9m = -45 + 60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60m' to each side of the equation. 108 + 9m + -60m = -45 + 60m + -60m Combine like terms: 9m + -60m = -51m 108 + -51m = -45 + 60m + -60m Combine like terms: 60m + -60m = 0 108 + -51m = -45 + 0 108 + -51m = -45 Add '-108' to each side of the equation. 108 + -108 + -51m = -45 + -108 Combine like terms: 108 + -108 = 0 0 + -51m = -45 + -108 -51m = -45 + -108 Combine like terms: -45 + -108 = -153 -51m = -153 Divide each side by '-51'. m = 3 Simplifying m = 3
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