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Simplifying 4m + 2(2m + 3) = 46 Reorder the terms: 4m + 2(3 + 2m) = 46 4m + (3 * 2 + 2m * 2) = 46 4m + (6 + 4m) = 46 Reorder the terms: 6 + 4m + 4m = 46 Combine like terms: 4m + 4m = 8m 6 + 8m = 46 Solving 6 + 8m = 46 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8m = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8m = 46 + -6 8m = 46 + -6 Combine like terms: 46 + -6 = 40 8m = 40 Divide each side by '8'. m = 5 Simplifying m = 5
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