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Simplifying 2(3m + 4) + -3(m + -5) = 0 Reorder the terms: 2(4 + 3m) + -3(m + -5) = 0 (4 * 2 + 3m * 2) + -3(m + -5) = 0 (8 + 6m) + -3(m + -5) = 0 Reorder the terms: 8 + 6m + -3(-5 + m) = 0 8 + 6m + (-5 * -3 + m * -3) = 0 8 + 6m + (15 + -3m) = 0 Reorder the terms: 8 + 15 + 6m + -3m = 0 Combine like terms: 8 + 15 = 23 23 + 6m + -3m = 0 Combine like terms: 6m + -3m = 3m 23 + 3m = 0 Solving 23 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3m = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3m = 0 + -23 3m = 0 + -23 Combine like terms: 0 + -23 = -23 3m = -23 Divide each side by '3'. m = -7.666666667 Simplifying m = -7.666666667
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