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Simplifying 6(3m + 7) + 5(2m + 8) = 0 Reorder the terms: 6(7 + 3m) + 5(2m + 8) = 0 (7 * 6 + 3m * 6) + 5(2m + 8) = 0 (42 + 18m) + 5(2m + 8) = 0 Reorder the terms: 42 + 18m + 5(8 + 2m) = 0 42 + 18m + (8 * 5 + 2m * 5) = 0 42 + 18m + (40 + 10m) = 0 Reorder the terms: 42 + 40 + 18m + 10m = 0 Combine like terms: 42 + 40 = 82 82 + 18m + 10m = 0 Combine like terms: 18m + 10m = 28m 82 + 28m = 0 Solving 82 + 28m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 28m = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 28m = 0 + -82 28m = 0 + -82 Combine like terms: 0 + -82 = -82 28m = -82 Divide each side by '28'. m = -2.928571429 Simplifying m = -2.928571429
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