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Simplifying 5m + 3n + -5(8m + -2n) = 0 5m + 3n + (8m * -5 + -2n * -5) = 0 5m + 3n + (-40m + 10n) = 0 Reorder the terms: 5m + -40m + 3n + 10n = 0 Combine like terms: 5m + -40m = -35m -35m + 3n + 10n = 0 Combine like terms: 3n + 10n = 13n -35m + 13n = 0 Solving -35m + 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. -35m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 -35m + 0 = 0 + -13n -35m = 0 + -13n Remove the zero: -35m = -13n Divide each side by '-35'. m = 0.3714285714n Simplifying m = 0.3714285714n
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