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Simplifying -8m + 12n + -5m + 8n = 0 Reorder the terms: -8m + -5m + 12n + 8n = 0 Combine like terms: -8m + -5m = -13m -13m + 12n + 8n = 0 Combine like terms: 12n + 8n = 20n -13m + 20n = 0 Solving -13m + 20n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20n' to each side of the equation. -13m + 20n + -20n = 0 + -20n Combine like terms: 20n + -20n = 0 -13m + 0 = 0 + -20n -13m = 0 + -20n Remove the zero: -13m = -20n Divide each side by '-13'. m = 1.538461538n Simplifying m = 1.538461538n
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