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Simplifying 6(m + 7) + 6(5 + -3m) = -13(m + -6) + -9 Reorder the terms: 6(7 + m) + 6(5 + -3m) = -13(m + -6) + -9 (7 * 6 + m * 6) + 6(5 + -3m) = -13(m + -6) + -9 (42 + 6m) + 6(5 + -3m) = -13(m + -6) + -9 42 + 6m + (5 * 6 + -3m * 6) = -13(m + -6) + -9 42 + 6m + (30 + -18m) = -13(m + -6) + -9 Reorder the terms: 42 + 30 + 6m + -18m = -13(m + -6) + -9 Combine like terms: 42 + 30 = 72 72 + 6m + -18m = -13(m + -6) + -9 Combine like terms: 6m + -18m = -12m 72 + -12m = -13(m + -6) + -9 Reorder the terms: 72 + -12m = -13(-6 + m) + -9 72 + -12m = (-6 * -13 + m * -13) + -9 72 + -12m = (78 + -13m) + -9 Reorder the terms: 72 + -12m = 78 + -9 + -13m Combine like terms: 78 + -9 = 69 72 + -12m = 69 + -13m Solving 72 + -12m = 69 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. 72 + -12m + 13m = 69 + -13m + 13m Combine like terms: -12m + 13m = 1m 72 + 1m = 69 + -13m + 13m Combine like terms: -13m + 13m = 0 72 + 1m = 69 + 0 72 + 1m = 69 Add '-72' to each side of the equation. 72 + -72 + 1m = 69 + -72 Combine like terms: 72 + -72 = 0 0 + 1m = 69 + -72 1m = 69 + -72 Combine like terms: 69 + -72 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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