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Simplifying 2(3 + 4m) + 9 = 45 (3 * 2 + 4m * 2) + 9 = 45 (6 + 8m) + 9 = 45 Reorder the terms: 6 + 9 + 8m = 45 Combine like terms: 6 + 9 = 15 15 + 8m = 45 Solving 15 + 8m = 45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8m = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 8m = 45 + -15 8m = 45 + -15 Combine like terms: 45 + -15 = 30 8m = 30 Divide each side by '8'. m = 3.75 Simplifying m = 3.75
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