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Simplifying (3m + 2n) + -1(12m + 14n) = 0 Remove parenthesis around (3m + 2n) 3m + 2n + -1(12m + 14n) = 0 3m + 2n + (12m * -1 + 14n * -1) = 0 3m + 2n + (-12m + -14n) = 0 Reorder the terms: 3m + -12m + 2n + -14n = 0 Combine like terms: 3m + -12m = -9m -9m + 2n + -14n = 0 Combine like terms: 2n + -14n = -12n -9m + -12n = 0 Solving -9m + -12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12n' to each side of the equation. -9m + -12n + 12n = 0 + 12n Combine like terms: -12n + 12n = 0 -9m + 0 = 0 + 12n -9m = 0 + 12n Remove the zero: -9m = 12n Divide each side by '-9'. m = -1.333333333n Simplifying m = -1.333333333n
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