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Simplifying 11m + -6m = 12(m + 9) + 6(m + 8) Combine like terms: 11m + -6m = 5m 5m = 12(m + 9) + 6(m + 8) Reorder the terms: 5m = 12(9 + m) + 6(m + 8) 5m = (9 * 12 + m * 12) + 6(m + 8) 5m = (108 + 12m) + 6(m + 8) Reorder the terms: 5m = 108 + 12m + 6(8 + m) 5m = 108 + 12m + (8 * 6 + m * 6) 5m = 108 + 12m + (48 + 6m) Reorder the terms: 5m = 108 + 48 + 12m + 6m Combine like terms: 108 + 48 = 156 5m = 156 + 12m + 6m Combine like terms: 12m + 6m = 18m 5m = 156 + 18m Solving 5m = 156 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 5m + -18m = 156 + 18m + -18m Combine like terms: 5m + -18m = -13m -13m = 156 + 18m + -18m Combine like terms: 18m + -18m = 0 -13m = 156 + 0 -13m = 156 Divide each side by '-13'. m = -12 Simplifying m = -12
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