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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 = -3 -3 + 8m = 45 Solving -3 + 8m = 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 + 8m = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 8m = 45 + 3 8m = 45 + 3 Combine like terms: 45 + 3 = 48 8m = 48 Divide each side by '8'. m = 6 Simplifying m = 6
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