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Simplifying 2(4m + 13) = 114 Reorder the terms: 2(13 + 4m) = 114 (13 * 2 + 4m * 2) = 114 (26 + 8m) = 114 Solving 26 + 8m = 114 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 8m = 114 + -26 Combine like terms: 26 + -26 = 0 0 + 8m = 114 + -26 8m = 114 + -26 Combine like terms: 114 + -26 = 88 8m = 88 Divide each side by '8'. m = 11 Simplifying m = 11
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