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Simplifying 115 = (20 + 3m) + (20 + 2m) Remove parenthesis around (20 + 3m) 115 = 20 + 3m + (20 + 2m) Remove parenthesis around (20 + 2m) 115 = 20 + 3m + 20 + 2m Reorder the terms: 115 = 20 + 20 + 3m + 2m Combine like terms: 20 + 20 = 40 115 = 40 + 3m + 2m Combine like terms: 3m + 2m = 5m 115 = 40 + 5m Solving 115 = 40 + 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. 115 + -5m = 40 + 5m + -5m Combine like terms: 5m + -5m = 0 115 + -5m = 40 + 0 115 + -5m = 40 Add '-115' to each side of the equation. 115 + -115 + -5m = 40 + -115 Combine like terms: 115 + -115 = 0 0 + -5m = 40 + -115 -5m = 40 + -115 Combine like terms: 40 + -115 = -75 -5m = -75 Divide each side by '-5'. m = 15 Simplifying m = 15
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