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Simplifying (8m2 + -5m + 3n) + (-8m2) + 4n2 = 0 Reorder the terms: (-5m + 8m2 + 3n) + (-8m2) + 4n2 = 0 Remove parenthesis around (-5m + 8m2 + 3n) -5m + 8m2 + 3n + (-8m2) + 4n2 = 0 Reorder the terms: -5m + 8m2 + (-8m2) + 3n + 4n2 = 0 Combine like terms: 8m2 + (-8m2) = 0 -5m + 0 + 3n + 4n2 = 0 -5m + 3n + 4n2 = 0 Solving -5m + 3n + 4n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. -5m + 3n + -3n + 4n2 = 0 + -3n Combine like terms: 3n + -3n = 0 -5m + 0 + 4n2 = 0 + -3n -5m + 4n2 = 0 + -3n Remove the zero: -5m + 4n2 = -3n Add '-4n2' to each side of the equation. -5m + 4n2 + -4n2 = -3n + -4n2 Combine like terms: 4n2 + -4n2 = 0 -5m + 0 = -3n + -4n2 -5m = -3n + -4n2 Divide each side by '-5'. m = 0.6n + 0.8n2 Simplifying m = 0.6n + 0.8n2
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