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Simplifying 3(5m + 2) + -2(3m + 5) + -12m = 0 Reorder the terms: 3(2 + 5m) + -2(3m + 5) + -12m = 0 (2 * 3 + 5m * 3) + -2(3m + 5) + -12m = 0 (6 + 15m) + -2(3m + 5) + -12m = 0 Reorder the terms: 6 + 15m + -2(5 + 3m) + -12m = 0 6 + 15m + (5 * -2 + 3m * -2) + -12m = 0 6 + 15m + (-10 + -6m) + -12m = 0 Reorder the terms: 6 + -10 + 15m + -6m + -12m = 0 Combine like terms: 6 + -10 = -4 -4 + 15m + -6m + -12m = 0 Combine like terms: 15m + -6m = 9m -4 + 9m + -12m = 0 Combine like terms: 9m + -12m = -3m -4 + -3m = 0 Solving -4 + -3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333
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