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Simplifying 5(2m + 3) = 5(m + 4) + -7m Reorder the terms: 5(3 + 2m) = 5(m + 4) + -7m (3 * 5 + 2m * 5) = 5(m + 4) + -7m (15 + 10m) = 5(m + 4) + -7m Reorder the terms: 15 + 10m = 5(4 + m) + -7m 15 + 10m = (4 * 5 + m * 5) + -7m 15 + 10m = (20 + 5m) + -7m Combine like terms: 5m + -7m = -2m 15 + 10m = 20 + -2m Solving 15 + 10m = 20 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 15 + 10m + 2m = 20 + -2m + 2m Combine like terms: 10m + 2m = 12m 15 + 12m = 20 + -2m + 2m Combine like terms: -2m + 2m = 0 15 + 12m = 20 + 0 15 + 12m = 20 Add '-15' to each side of the equation. 15 + -15 + 12m = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 12m = 20 + -15 12m = 20 + -15 Combine like terms: 20 + -15 = 5 12m = 5 Divide each side by '12'. m = 0.4166666667 Simplifying m = 0.4166666667
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