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Simplifying -9(6g + -2) + 8g = -8(6g + -17) Reorder the terms: -9(-2 + 6g) + 8g = -8(6g + -17) (-2 * -9 + 6g * -9) + 8g = -8(6g + -17) (18 + -54g) + 8g = -8(6g + -17) Combine like terms: -54g + 8g = -46g 18 + -46g = -8(6g + -17) Reorder the terms: 18 + -46g = -8(-17 + 6g) 18 + -46g = (-17 * -8 + 6g * -8) 18 + -46g = (136 + -48g) Solving 18 + -46g = 136 + -48g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '48g' to each side of the equation. 18 + -46g + 48g = 136 + -48g + 48g Combine like terms: -46g + 48g = 2g 18 + 2g = 136 + -48g + 48g Combine like terms: -48g + 48g = 0 18 + 2g = 136 + 0 18 + 2g = 136 Add '-18' to each side of the equation. 18 + -18 + 2g = 136 + -18 Combine like terms: 18 + -18 = 0 0 + 2g = 136 + -18 2g = 136 + -18 Combine like terms: 136 + -18 = 118 2g = 118 Divide each side by '2'. g = 59 Simplifying g = 59
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