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Simplifying -1(1 + -4g) + 10 + -1h = 2(g + 3) (1 * -1 + -4g * -1) + 10 + -1h = 2(g + 3) (-1 + 4g) + 10 + -1h = 2(g + 3) Reorder the terms: -1 + 10 + 4g + -1h = 2(g + 3) Combine like terms: -1 + 10 = 9 9 + 4g + -1h = 2(g + 3) Reorder the terms: 9 + 4g + -1h = 2(3 + g) 9 + 4g + -1h = (3 * 2 + g * 2) 9 + 4g + -1h = (6 + 2g) Solving 9 + 4g + -1h = 6 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. 9 + 4g + -2g + -1h = 6 + 2g + -2g Combine like terms: 4g + -2g = 2g 9 + 2g + -1h = 6 + 2g + -2g Combine like terms: 2g + -2g = 0 9 + 2g + -1h = 6 + 0 9 + 2g + -1h = 6 Add '-9' to each side of the equation. 9 + 2g + -9 + -1h = 6 + -9 Reorder the terms: 9 + -9 + 2g + -1h = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 2g + -1h = 6 + -9 2g + -1h = 6 + -9 Combine like terms: 6 + -9 = -3 2g + -1h = -3 Add 'h' to each side of the equation. 2g + -1h + h = -3 + h Combine like terms: -1h + h = 0 2g + 0 = -3 + h 2g = -3 + h Divide each side by '2'. g = -1.5 + 0.5h Simplifying g = -1.5 + 0.5h
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