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Simplifying 2(m + 3) + 5(m + 2) = 23 Reorder the terms: 2(3 + m) + 5(m + 2) = 23 (3 * 2 + m * 2) + 5(m + 2) = 23 (6 + 2m) + 5(m + 2) = 23 Reorder the terms: 6 + 2m + 5(2 + m) = 23 6 + 2m + (2 * 5 + m * 5) = 23 6 + 2m + (10 + 5m) = 23 Reorder the terms: 6 + 10 + 2m + 5m = 23 Combine like terms: 6 + 10 = 16 16 + 2m + 5m = 23 Combine like terms: 2m + 5m = 7m 16 + 7m = 23 Solving 16 + 7m = 23 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7m = 23 + -16 Combine like terms: 16 + -16 = 0 0 + 7m = 23 + -16 7m = 23 + -16 Combine like terms: 23 + -16 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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