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Simplifying (11m + -7n) + -1(2m + 6n) = 0 Remove parenthesis around (11m + -7n) 11m + -7n + -1(2m + 6n) = 0 11m + -7n + (2m * -1 + 6n * -1) = 0 11m + -7n + (-2m + -6n) = 0 Reorder the terms: 11m + -2m + -7n + -6n = 0 Combine like terms: 11m + -2m = 9m 9m + -7n + -6n = 0 Combine like terms: -7n + -6n = -13n 9m + -13n = 0 Solving 9m + -13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13n' to each side of the equation. 9m + -13n + 13n = 0 + 13n Combine like terms: -13n + 13n = 0 9m + 0 = 0 + 13n 9m = 0 + 13n Remove the zero: 9m = 13n Divide each side by '9'. m = 1.444444444n Simplifying m = 1.444444444n
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