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Simplifying 8(1 + 4m) + -6(3m + -3) = 40 (1 * 8 + 4m * 8) + -6(3m + -3) = 40 (8 + 32m) + -6(3m + -3) = 40 Reorder the terms: 8 + 32m + -6(-3 + 3m) = 40 8 + 32m + (-3 * -6 + 3m * -6) = 40 8 + 32m + (18 + -18m) = 40 Reorder the terms: 8 + 18 + 32m + -18m = 40 Combine like terms: 8 + 18 = 26 26 + 32m + -18m = 40 Combine like terms: 32m + -18m = 14m 26 + 14m = 40 Solving 26 + 14m = 40 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 + 14m = 40 + -26 Combine like terms: 26 + -26 = 0 0 + 14m = 40 + -26 14m = 40 + -26 Combine like terms: 40 + -26 = 14 14m = 14 Divide each side by '14'. m = 1 Simplifying m = 1
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