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Simplifying 4g + 6r + 5g + -2r = 0 Reorder the terms: 4g + 5g + 6r + -2r = 0 Combine like terms: 4g + 5g = 9g 9g + 6r + -2r = 0 Combine like terms: 6r + -2r = 4r 9g + 4r = 0 Solving 9g + 4r = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4r' to each side of the equation. 9g + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 9g + 0 = 0 + -4r 9g = 0 + -4r Remove the zero: 9g = -4r Divide each side by '9'. g = -0.4444444444r Simplifying g = -0.4444444444r
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