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Simplifying 4(3m + 5) + 7(2m + -2) = 0 Reorder the terms: 4(5 + 3m) + 7(2m + -2) = 0 (5 * 4 + 3m * 4) + 7(2m + -2) = 0 (20 + 12m) + 7(2m + -2) = 0 Reorder the terms: 20 + 12m + 7(-2 + 2m) = 0 20 + 12m + (-2 * 7 + 2m * 7) = 0 20 + 12m + (-14 + 14m) = 0 Reorder the terms: 20 + -14 + 12m + 14m = 0 Combine like terms: 20 + -14 = 6 6 + 12m + 14m = 0 Combine like terms: 12m + 14m = 26m 6 + 26m = 0 Solving 6 + 26m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 26m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 26m = 0 + -6 26m = 0 + -6 Combine like terms: 0 + -6 = -6 26m = -6 Divide each side by '26'. m = -0.2307692308 Simplifying m = -0.2307692308
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