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Simplifying -9(5g + 17) + 19g = 8 + -17g + 19 Reorder the terms: -9(17 + 5g) + 19g = 8 + -17g + 19 (17 * -9 + 5g * -9) + 19g = 8 + -17g + 19 (-153 + -45g) + 19g = 8 + -17g + 19 Combine like terms: -45g + 19g = -26g -153 + -26g = 8 + -17g + 19 Reorder the terms: -153 + -26g = 8 + 19 + -17g Combine like terms: 8 + 19 = 27 -153 + -26g = 27 + -17g Solving -153 + -26g = 27 + -17g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '17g' to each side of the equation. -153 + -26g + 17g = 27 + -17g + 17g Combine like terms: -26g + 17g = -9g -153 + -9g = 27 + -17g + 17g Combine like terms: -17g + 17g = 0 -153 + -9g = 27 + 0 -153 + -9g = 27 Add '153' to each side of the equation. -153 + 153 + -9g = 27 + 153 Combine like terms: -153 + 153 = 0 0 + -9g = 27 + 153 -9g = 27 + 153 Combine like terms: 27 + 153 = 180 -9g = 180 Divide each side by '-9'. g = -20 Simplifying g = -20
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