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Simplifying 9(3m + 12) = -6(2m + 5) Reorder the terms: 9(12 + 3m) = -6(2m + 5) (12 * 9 + 3m * 9) = -6(2m + 5) (108 + 27m) = -6(2m + 5) Reorder the terms: 108 + 27m = -6(5 + 2m) 108 + 27m = (5 * -6 + 2m * -6) 108 + 27m = (-30 + -12m) Solving 108 + 27m = -30 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 108 + 27m + 12m = -30 + -12m + 12m Combine like terms: 27m + 12m = 39m 108 + 39m = -30 + -12m + 12m Combine like terms: -12m + 12m = 0 108 + 39m = -30 + 0 108 + 39m = -30 Add '-108' to each side of the equation. 108 + -108 + 39m = -30 + -108 Combine like terms: 108 + -108 = 0 0 + 39m = -30 + -108 39m = -30 + -108 Combine like terms: -30 + -108 = -138 39m = -138 Divide each side by '39'. m = -3.538461538 Simplifying m = -3.538461538
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