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Simplifying 3(m + 2) + 3(m + -1) = 45 Reorder the terms: 3(2 + m) + 3(m + -1) = 45 (2 * 3 + m * 3) + 3(m + -1) = 45 (6 + 3m) + 3(m + -1) = 45 Reorder the terms: 6 + 3m + 3(-1 + m) = 45 6 + 3m + (-1 * 3 + m * 3) = 45 6 + 3m + (-3 + 3m) = 45 Reorder the terms: 6 + -3 + 3m + 3m = 45 Combine like terms: 6 + -3 = 3 3 + 3m + 3m = 45 Combine like terms: 3m + 3m = 6m 3 + 6m = 45 Solving 3 + 6m = 45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6m = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6m = 45 + -3 6m = 45 + -3 Combine like terms: 45 + -3 = 42 6m = 42 Divide each side by '6'. m = 7 Simplifying m = 7
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