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Simplifying 4(6 + 2m) + 5(2 + -1m) = -3(m + 6) + -8 (6 * 4 + 2m * 4) + 5(2 + -1m) = -3(m + 6) + -8 (24 + 8m) + 5(2 + -1m) = -3(m + 6) + -8 24 + 8m + (2 * 5 + -1m * 5) = -3(m + 6) + -8 24 + 8m + (10 + -5m) = -3(m + 6) + -8 Reorder the terms: 24 + 10 + 8m + -5m = -3(m + 6) + -8 Combine like terms: 24 + 10 = 34 34 + 8m + -5m = -3(m + 6) + -8 Combine like terms: 8m + -5m = 3m 34 + 3m = -3(m + 6) + -8 Reorder the terms: 34 + 3m = -3(6 + m) + -8 34 + 3m = (6 * -3 + m * -3) + -8 34 + 3m = (-18 + -3m) + -8 Reorder the terms: 34 + 3m = -18 + -8 + -3m Combine like terms: -18 + -8 = -26 34 + 3m = -26 + -3m Solving 34 + 3m = -26 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 34 + 3m + 3m = -26 + -3m + 3m Combine like terms: 3m + 3m = 6m 34 + 6m = -26 + -3m + 3m Combine like terms: -3m + 3m = 0 34 + 6m = -26 + 0 34 + 6m = -26 Add '-34' to each side of the equation. 34 + -34 + 6m = -26 + -34 Combine like terms: 34 + -34 = 0 0 + 6m = -26 + -34 6m = -26 + -34 Combine like terms: -26 + -34 = -60 6m = -60 Divide each side by '6'. m = -10 Simplifying m = -10
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