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Simplifying 13g + 5 + -8g + 7 = 14g + -17 + -5g + -31 Reorder the terms: 5 + 7 + 13g + -8g = 14g + -17 + -5g + -31 Combine like terms: 5 + 7 = 12 12 + 13g + -8g = 14g + -17 + -5g + -31 Combine like terms: 13g + -8g = 5g 12 + 5g = 14g + -17 + -5g + -31 Reorder the terms: 12 + 5g = -17 + -31 + 14g + -5g Combine like terms: -17 + -31 = -48 12 + 5g = -48 + 14g + -5g Combine like terms: 14g + -5g = 9g 12 + 5g = -48 + 9g Solving 12 + 5g = -48 + 9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g' to each side of the equation. 12 + 5g + -9g = -48 + 9g + -9g Combine like terms: 5g + -9g = -4g 12 + -4g = -48 + 9g + -9g Combine like terms: 9g + -9g = 0 12 + -4g = -48 + 0 12 + -4g = -48 Add '-12' to each side of the equation. 12 + -12 + -4g = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -4g = -48 + -12 -4g = -48 + -12 Combine like terms: -48 + -12 = -60 -4g = -60 Divide each side by '-4'. g = 15 Simplifying g = 15
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