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Simplifying (7m + -8n2 + 3n) + -1(-2n2 + 4m + -3n) = 0 Reorder the terms: (7m + 3n + -8n2) + -1(-2n2 + 4m + -3n) = 0 Remove parenthesis around (7m + 3n + -8n2) 7m + 3n + -8n2 + -1(-2n2 + 4m + -3n) = 0 Reorder the terms: 7m + 3n + -8n2 + -1(4m + -3n + -2n2) = 0 7m + 3n + -8n2 + (4m * -1 + -3n * -1 + -2n2 * -1) = 0 7m + 3n + -8n2 + (-4m + 3n + 2n2) = 0 Reorder the terms: 7m + -4m + 3n + 3n + -8n2 + 2n2 = 0 Combine like terms: 7m + -4m = 3m 3m + 3n + 3n + -8n2 + 2n2 = 0 Combine like terms: 3n + 3n = 6n 3m + 6n + -8n2 + 2n2 = 0 Combine like terms: -8n2 + 2n2 = -6n2 3m + 6n + -6n2 = 0 Solving 3m + 6n + -6n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6n' to each side of the equation. 3m + 6n + -6n + -6n2 = 0 + -6n Combine like terms: 6n + -6n = 0 3m + 0 + -6n2 = 0 + -6n 3m + -6n2 = 0 + -6n Remove the zero: 3m + -6n2 = -6n Add '6n2' to each side of the equation. 3m + -6n2 + 6n2 = -6n + 6n2 Combine like terms: -6n2 + 6n2 = 0 3m + 0 = -6n + 6n2 3m = -6n + 6n2 Divide each side by '3'. m = -2n + 2n2 Simplifying m = -2n + 2n2
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