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Simplifying 6m + 9(2 + -1m) = 2(7 + -4m) + -11 6m + (2 * 9 + -1m * 9) = 2(7 + -4m) + -11 6m + (18 + -9m) = 2(7 + -4m) + -11 Reorder the terms: 18 + 6m + -9m = 2(7 + -4m) + -11 Combine like terms: 6m + -9m = -3m 18 + -3m = 2(7 + -4m) + -11 18 + -3m = (7 * 2 + -4m * 2) + -11 18 + -3m = (14 + -8m) + -11 Reorder the terms: 18 + -3m = 14 + -11 + -8m Combine like terms: 14 + -11 = 3 18 + -3m = 3 + -8m Solving 18 + -3m = 3 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 18 + -3m + 8m = 3 + -8m + 8m Combine like terms: -3m + 8m = 5m 18 + 5m = 3 + -8m + 8m Combine like terms: -8m + 8m = 0 18 + 5m = 3 + 0 18 + 5m = 3 Add '-18' to each side of the equation. 18 + -18 + 5m = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 5m = 3 + -18 5m = 3 + -18 Combine like terms: 3 + -18 = -15 5m = -15 Divide each side by '5'. m = -3 Simplifying m = -3
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