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Simplifying 17g + -7(6g + -13) = 16 + -20g Reorder the terms: 17g + -7(-13 + 6g) = 16 + -20g 17g + (-13 * -7 + 6g * -7) = 16 + -20g 17g + (91 + -42g) = 16 + -20g Reorder the terms: 91 + 17g + -42g = 16 + -20g Combine like terms: 17g + -42g = -25g 91 + -25g = 16 + -20g Solving 91 + -25g = 16 + -20g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '20g' to each side of the equation. 91 + -25g + 20g = 16 + -20g + 20g Combine like terms: -25g + 20g = -5g 91 + -5g = 16 + -20g + 20g Combine like terms: -20g + 20g = 0 91 + -5g = 16 + 0 91 + -5g = 16 Add '-91' to each side of the equation. 91 + -91 + -5g = 16 + -91 Combine like terms: 91 + -91 = 0 0 + -5g = 16 + -91 -5g = 16 + -91 Combine like terms: 16 + -91 = -75 -5g = -75 Divide each side by '-5'. g = 15 Simplifying g = 15
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