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