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Simplifying (12m + 6) + -1(3m + -9) = 0 Reorder the terms: (6 + 12m) + -1(3m + -9) = 0 Remove parenthesis around (6 + 12m) 6 + 12m + -1(3m + -9) = 0 Reorder the terms: 6 + 12m + -1(-9 + 3m) = 0 6 + 12m + (-9 * -1 + 3m * -1) = 0 6 + 12m + (9 + -3m) = 0 Reorder the terms: 6 + 9 + 12m + -3m = 0 Combine like terms: 6 + 9 = 15 15 + 12m + -3m = 0 Combine like terms: 12m + -3m = 9m 15 + 9m = 0 Solving 15 + 9m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 9m = 0 + -15 9m = 0 + -15 Combine like terms: 0 + -15 = -15 9m = -15 Divide each side by '9'. m = -1.666666667 Simplifying m = -1.666666667
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