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Simplifying 2(m + 15) + 8 + m + 12 + 26 = 106 Reorder the terms: 2(15 + m) + 8 + m + 12 + 26 = 106 (15 * 2 + m * 2) + 8 + m + 12 + 26 = 106 (30 + 2m) + 8 + m + 12 + 26 = 106 Reorder the terms: 30 + 8 + 12 + 26 + 2m + m = 106 Combine like terms: 30 + 8 = 38 38 + 12 + 26 + 2m + m = 106 Combine like terms: 38 + 12 = 50 50 + 26 + 2m + m = 106 Combine like terms: 50 + 26 = 76 76 + 2m + m = 106 Combine like terms: 2m + m = 3m 76 + 3m = 106 Solving 76 + 3m = 106 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 3m = 106 + -76 Combine like terms: 76 + -76 = 0 0 + 3m = 106 + -76 3m = 106 + -76 Combine like terms: 106 + -76 = 30 3m = 30 Divide each side by '3'. m = 10 Simplifying m = 10
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