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