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Simplifying 2(2m + 5) = m + 13 Reorder the terms: 2(5 + 2m) = m + 13 (5 * 2 + 2m * 2) = m + 13 (10 + 4m) = m + 13 Reorder the terms: 10 + 4m = 13 + m Solving 10 + 4m = 13 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 10 + 4m + -1m = 13 + m + -1m Combine like terms: 4m + -1m = 3m 10 + 3m = 13 + m + -1m Combine like terms: m + -1m = 0 10 + 3m = 13 + 0 10 + 3m = 13 Add '-10' to each side of the equation. 10 + -10 + 3m = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 3m = 13 + -10 3m = 13 + -10 Combine like terms: 13 + -10 = 3 3m = 3 Divide each side by '3'. m = 1 Simplifying m = 1
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