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Simplifying 5m + 2n + -8m + 3n = 0 Reorder the terms: 5m + -8m + 2n + 3n = 0 Combine like terms: 5m + -8m = -3m -3m + 2n + 3n = 0 Combine like terms: 2n + 3n = 5n -3m + 5n = 0 Solving -3m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. -3m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 -3m + 0 = 0 + -5n -3m = 0 + -5n Remove the zero: -3m = -5n Divide each side by '-3'. m = 1.666666667n Simplifying m = 1.666666667n
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