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Simplifying 5(8 + m) + 2(7m + -7) = 0 (8 * 5 + m * 5) + 2(7m + -7) = 0 (40 + 5m) + 2(7m + -7) = 0 Reorder the terms: 40 + 5m + 2(-7 + 7m) = 0 40 + 5m + (-7 * 2 + 7m * 2) = 0 40 + 5m + (-14 + 14m) = 0 Reorder the terms: 40 + -14 + 5m + 14m = 0 Combine like terms: 40 + -14 = 26 26 + 5m + 14m = 0 Combine like terms: 5m + 14m = 19m 26 + 19m = 0 Solving 26 + 19m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 19m = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 19m = 0 + -26 19m = 0 + -26 Combine like terms: 0 + -26 = -26 19m = -26 Divide each side by '19'. m = -1.368421053 Simplifying m = -1.368421053
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