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Simplifying 0 = 2(6 + -9m) + -1(5 + 3m) 0 = (6 * 2 + -9m * 2) + -1(5 + 3m) 0 = (12 + -18m) + -1(5 + 3m) 0 = 12 + -18m + (5 * -1 + 3m * -1) 0 = 12 + -18m + (-5 + -3m) Reorder the terms: 0 = 12 + -5 + -18m + -3m Combine like terms: 12 + -5 = 7 0 = 7 + -18m + -3m Combine like terms: -18m + -3m = -21m 0 = 7 + -21m Solving 0 = 7 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 0 + 21m = 7 + -21m + 21m Remove the zero: 21m = 7 + -21m + 21m Combine like terms: -21m + 21m = 0 21m = 7 + 0 21m = 7 Divide each side by '21'. m = 0.3333333333 Simplifying m = 0.3333333333
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