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Simplifying 5m + 2n + -5(9m + -8n) = 0 5m + 2n + (9m * -5 + -8n * -5) = 0 5m + 2n + (-45m + 40n) = 0 Reorder the terms: 5m + -45m + 2n + 40n = 0 Combine like terms: 5m + -45m = -40m -40m + 2n + 40n = 0 Combine like terms: 2n + 40n = 42n -40m + 42n = 0 Solving -40m + 42n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42n' to each side of the equation. -40m + 42n + -42n = 0 + -42n Combine like terms: 42n + -42n = 0 -40m + 0 = 0 + -42n -40m = 0 + -42n Remove the zero: -40m = -42n Divide each side by '-40'. m = 1.05n Simplifying m = 1.05n
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