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Simplifying 75 = 5(6 + 3m) 75 = (6 * 5 + 3m * 5) 75 = (30 + 15m) Solving 75 = 30 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 75 + -15m = 30 + 15m + -15m Combine like terms: 15m + -15m = 0 75 + -15m = 30 + 0 75 + -15m = 30 Add '-75' to each side of the equation. 75 + -75 + -15m = 30 + -75 Combine like terms: 75 + -75 = 0 0 + -15m = 30 + -75 -15m = 30 + -75 Combine like terms: 30 + -75 = -45 -15m = -45 Divide each side by '-15'. m = 3 Simplifying m = 3
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