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Simplifying 3(5 + 7m) = 6m + 30 (5 * 3 + 7m * 3) = 6m + 30 (15 + 21m) = 6m + 30 Reorder the terms: 15 + 21m = 30 + 6m Solving 15 + 21m = 30 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 15 + 21m + -6m = 30 + 6m + -6m Combine like terms: 21m + -6m = 15m 15 + 15m = 30 + 6m + -6m Combine like terms: 6m + -6m = 0 15 + 15m = 30 + 0 15 + 15m = 30 Add '-15' to each side of the equation. 15 + -15 + 15m = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 15m = 30 + -15 15m = 30 + -15 Combine like terms: 30 + -15 = 15 15m = 15 Divide each side by '15'. m = 1 Simplifying m = 1
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