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Simplifying 9(2m + 1) + 2(5m + 3) = 71 Reorder the terms: 9(1 + 2m) + 2(5m + 3) = 71 (1 * 9 + 2m * 9) + 2(5m + 3) = 71 (9 + 18m) + 2(5m + 3) = 71 Reorder the terms: 9 + 18m + 2(3 + 5m) = 71 9 + 18m + (3 * 2 + 5m * 2) = 71 9 + 18m + (6 + 10m) = 71 Reorder the terms: 9 + 6 + 18m + 10m = 71 Combine like terms: 9 + 6 = 15 15 + 18m + 10m = 71 Combine like terms: 18m + 10m = 28m 15 + 28m = 71 Solving 15 + 28m = 71 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 28m = 71 + -15 Combine like terms: 15 + -15 = 0 0 + 28m = 71 + -15 28m = 71 + -15 Combine like terms: 71 + -15 = 56 28m = 56 Divide each side by '28'. m = 2 Simplifying m = 2
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