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Simplifying 4(2m + 3) + -5(m + -1) = 0 Reorder the terms: 4(3 + 2m) + -5(m + -1) = 0 (3 * 4 + 2m * 4) + -5(m + -1) = 0 (12 + 8m) + -5(m + -1) = 0 Reorder the terms: 12 + 8m + -5(-1 + m) = 0 12 + 8m + (-1 * -5 + m * -5) = 0 12 + 8m + (5 + -5m) = 0 Reorder the terms: 12 + 5 + 8m + -5m = 0 Combine like terms: 12 + 5 = 17 17 + 8m + -5m = 0 Combine like terms: 8m + -5m = 3m 17 + 3m = 0 Solving 17 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3m = 0 + -17 3m = 0 + -17 Combine like terms: 0 + -17 = -17 3m = -17 Divide each side by '3'. m = -5.666666667 Simplifying m = -5.666666667
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