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Simplifying 2(3m + 7) + -3(m + -5) = 0 Reorder the terms: 2(7 + 3m) + -3(m + -5) = 0 (7 * 2 + 3m * 2) + -3(m + -5) = 0 (14 + 6m) + -3(m + -5) = 0 Reorder the terms: 14 + 6m + -3(-5 + m) = 0 14 + 6m + (-5 * -3 + m * -3) = 0 14 + 6m + (15 + -3m) = 0 Reorder the terms: 14 + 15 + 6m + -3m = 0 Combine like terms: 14 + 15 = 29 29 + 6m + -3m = 0 Combine like terms: 6m + -3m = 3m 29 + 3m = 0 Solving 29 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3m = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 3m = 0 + -29 3m = 0 + -29 Combine like terms: 0 + -29 = -29 3m = -29 Divide each side by '3'. m = -9.666666667 Simplifying m = -9.666666667
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