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Simplifying 3(4m + 3) + -1(14m + -11) = 8 Reorder the terms: 3(3 + 4m) + -1(14m + -11) = 8 (3 * 3 + 4m * 3) + -1(14m + -11) = 8 (9 + 12m) + -1(14m + -11) = 8 Reorder the terms: 9 + 12m + -1(-11 + 14m) = 8 9 + 12m + (-11 * -1 + 14m * -1) = 8 9 + 12m + (11 + -14m) = 8 Reorder the terms: 9 + 11 + 12m + -14m = 8 Combine like terms: 9 + 11 = 20 20 + 12m + -14m = 8 Combine like terms: 12m + -14m = -2m 20 + -2m = 8 Solving 20 + -2m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2m = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -2m = 8 + -20 -2m = 8 + -20 Combine like terms: 8 + -20 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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