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Simplifying 4(5n + 2g) + 6(g + n) + -1g = 0 Reorder the terms: 4(2g + 5n) + 6(g + n) + -1g = 0 (2g * 4 + 5n * 4) + 6(g + n) + -1g = 0 (8g + 20n) + 6(g + n) + -1g = 0 8g + 20n + (g * 6 + n * 6) + -1g = 0 8g + 20n + (6g + 6n) + -1g = 0 Reorder the terms: 8g + 6g + -1g + 20n + 6n = 0 Combine like terms: 8g + 6g = 14g 14g + -1g + 20n + 6n = 0 Combine like terms: 14g + -1g = 13g 13g + 20n + 6n = 0 Combine like terms: 20n + 6n = 26n 13g + 26n = 0 Solving 13g + 26n = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-26n' to each side of the equation. 13g + 26n + -26n = 0 + -26n Combine like terms: 26n + -26n = 0 13g + 0 = 0 + -26n 13g = 0 + -26n Remove the zero: 13g = -26n Divide each side by '13'. g = -2n Simplifying g = -2n
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