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Simplifying 9g + 2 + 16r + -7g + 15 + -13r = 0 Reorder the terms: 2 + 15 + 9g + -7g + 16r + -13r = 0 Combine like terms: 2 + 15 = 17 17 + 9g + -7g + 16r + -13r = 0 Combine like terms: 9g + -7g = 2g 17 + 2g + 16r + -13r = 0 Combine like terms: 16r + -13r = 3r 17 + 2g + 3r = 0 Solving 17 + 2g + 3r = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 2g + -17 + 3r = 0 + -17 Reorder the terms: 17 + -17 + 2g + 3r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2g + 3r = 0 + -17 2g + 3r = 0 + -17 Combine like terms: 0 + -17 = -17 2g + 3r = -17 Add '-3r' to each side of the equation. 2g + 3r + -3r = -17 + -3r Combine like terms: 3r + -3r = 0 2g + 0 = -17 + -3r 2g = -17 + -3r Divide each side by '2'. g = -8.5 + -1.5r Simplifying g = -8.5 + -1.5r
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