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Simplifying 13(m + 12) + -9(4m + -9) = 76 Reorder the terms: 13(12 + m) + -9(4m + -9) = 76 (12 * 13 + m * 13) + -9(4m + -9) = 76 (156 + 13m) + -9(4m + -9) = 76 Reorder the terms: 156 + 13m + -9(-9 + 4m) = 76 156 + 13m + (-9 * -9 + 4m * -9) = 76 156 + 13m + (81 + -36m) = 76 Reorder the terms: 156 + 81 + 13m + -36m = 76 Combine like terms: 156 + 81 = 237 237 + 13m + -36m = 76 Combine like terms: 13m + -36m = -23m 237 + -23m = 76 Solving 237 + -23m = 76 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-237' to each side of the equation. 237 + -237 + -23m = 76 + -237 Combine like terms: 237 + -237 = 0 0 + -23m = 76 + -237 -23m = 76 + -237 Combine like terms: 76 + -237 = -161 -23m = -161 Divide each side by '-23'. m = 7 Simplifying m = 7
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