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Simplifying 5m + 2n + -5m + 7(m + -6n) = 0 5m + 2n + -5m + (m * 7 + -6n * 7) = 0 5m + 2n + -5m + (7m + -42n) = 0 Reorder the terms: 5m + -5m + 7m + 2n + -42n = 0 Combine like terms: 5m + -5m = 0 0 + 7m + 2n + -42n = 0 7m + 2n + -42n = 0 Combine like terms: 2n + -42n = -40n 7m + -40n = 0 Solving 7m + -40n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40n' to each side of the equation. 7m + -40n + 40n = 0 + 40n Combine like terms: -40n + 40n = 0 7m + 0 = 0 + 40n 7m = 0 + 40n Remove the zero: 7m = 40n Divide each side by '7'. m = 5.714285714n Simplifying m = 5.714285714n
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