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Simplifying -17g + -9 + -16g = 19g + 5(-12g + 19) Reorder the terms: -9 + -17g + -16g = 19g + 5(-12g + 19) Combine like terms: -17g + -16g = -33g -9 + -33g = 19g + 5(-12g + 19) Reorder the terms: -9 + -33g = 19g + 5(19 + -12g) -9 + -33g = 19g + (19 * 5 + -12g * 5) -9 + -33g = 19g + (95 + -60g) Reorder the terms: -9 + -33g = 95 + 19g + -60g Combine like terms: 19g + -60g = -41g -9 + -33g = 95 + -41g Solving -9 + -33g = 95 + -41g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '41g' to each side of the equation. -9 + -33g + 41g = 95 + -41g + 41g Combine like terms: -33g + 41g = 8g -9 + 8g = 95 + -41g + 41g Combine like terms: -41g + 41g = 0 -9 + 8g = 95 + 0 -9 + 8g = 95 Add '9' to each side of the equation. -9 + 9 + 8g = 95 + 9 Combine like terms: -9 + 9 = 0 0 + 8g = 95 + 9 8g = 95 + 9 Combine like terms: 95 + 9 = 104 8g = 104 Divide each side by '8'. g = 13 Simplifying g = 13
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