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Simplifying 3(m + 1) + 2(m + 2) = 5 Reorder the terms: 3(1 + m) + 2(m + 2) = 5 (1 * 3 + m * 3) + 2(m + 2) = 5 (3 + 3m) + 2(m + 2) = 5 Reorder the terms: 3 + 3m + 2(2 + m) = 5 3 + 3m + (2 * 2 + m * 2) = 5 3 + 3m + (4 + 2m) = 5 Reorder the terms: 3 + 4 + 3m + 2m = 5 Combine like terms: 3 + 4 = 7 7 + 3m + 2m = 5 Combine like terms: 3m + 2m = 5m 7 + 5m = 5 Solving 7 + 5m = 5 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5m = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 5m = 5 + -7 5m = 5 + -7 Combine like terms: 5 + -7 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4
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