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Simplifying 2(3 + 4m) + -4 = 45 (3 * 2 + 4m * 2) + -4 = 45 (6 + 8m) + -4 = 45 Reorder the terms: 6 + -4 + 8m = 45 Combine like terms: 6 + -4 = 2 2 + 8m = 45 Solving 2 + 8m = 45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8m = 45 + -2 Combine like terms: 2 + -2 = 0 0 + 8m = 45 + -2 8m = 45 + -2 Combine like terms: 45 + -2 = 43 8m = 43 Divide each side by '8'. m = 5.375 Simplifying m = 5.375
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