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Simplifying 3m + (m + 7n) + -1(2m + 5n) = 0 Remove parenthesis around (m + 7n) 3m + m + 7n + -1(2m + 5n) = 0 3m + m + 7n + (2m * -1 + 5n * -1) = 0 3m + m + 7n + (-2m + -5n) = 0 Reorder the terms: 3m + m + -2m + 7n + -5n = 0 Combine like terms: 3m + m = 4m 4m + -2m + 7n + -5n = 0 Combine like terms: 4m + -2m = 2m 2m + 7n + -5n = 0 Combine like terms: 7n + -5n = 2n 2m + 2n = 0 Solving 2m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 2m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 2m + 0 = 0 + -2n 2m = 0 + -2n Remove the zero: 2m = -2n Divide each side by '2'. m = -1n Simplifying m = -1n
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