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Simplifying 5(2m + 3) + -1(1 + -2m) = 0 Reorder the terms: 5(3 + 2m) + -1(1 + -2m) = 0 (3 * 5 + 2m * 5) + -1(1 + -2m) = 0 (15 + 10m) + -1(1 + -2m) = 0 15 + 10m + (1 * -1 + -2m * -1) = 0 15 + 10m + (-1 + 2m) = 0 Reorder the terms: 15 + -1 + 10m + 2m = 0 Combine like terms: 15 + -1 = 14 14 + 10m + 2m = 0 Combine like terms: 10m + 2m = 12m 14 + 12m = 0 Solving 14 + 12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12m = 0 + -14 12m = 0 + -14 Combine like terms: 0 + -14 = -14 12m = -14 Divide each side by '12'. m = -1.166666667 Simplifying m = -1.166666667
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