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Simplifying 9m + 7n + -7(3m + -4n) = 0 9m + 7n + (3m * -7 + -4n * -7) = 0 9m + 7n + (-21m + 28n) = 0 Reorder the terms: 9m + -21m + 7n + 28n = 0 Combine like terms: 9m + -21m = -12m -12m + 7n + 28n = 0 Combine like terms: 7n + 28n = 35n -12m + 35n = 0 Solving -12m + 35n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35n' to each side of the equation. -12m + 35n + -35n = 0 + -35n Combine like terms: 35n + -35n = 0 -12m + 0 = 0 + -35n -12m = 0 + -35n Remove the zero: -12m = -35n Divide each side by '-12'. m = 2.916666667n Simplifying m = 2.916666667n
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