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Simplifying 75 = -3(m + 5) + 8m Reorder the terms: 75 = -3(5 + m) + 8m 75 = (5 * -3 + m * -3) + 8m 75 = (-15 + -3m) + 8m Combine like terms: -3m + 8m = 5m 75 = -15 + 5m Solving 75 = -15 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 75 + -5m = -15 + 5m + -5m Combine like terms: 5m + -5m = 0 75 + -5m = -15 + 0 75 + -5m = -15 Add '-75' to each side of the equation. 75 + -75 + -5m = -15 + -75 Combine like terms: 75 + -75 = 0 0 + -5m = -15 + -75 -5m = -15 + -75 Combine like terms: -15 + -75 = -90 -5m = -90 Divide each side by '-5'. m = 18 Simplifying m = 18
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