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Simplifying 5g + 4(-5 + r) = 13 + 2r 5g + (-5 * 4 + r * 4) = 13 + 2r 5g + (-20 + 4r) = 13 + 2r Reorder the terms: -20 + 5g + 4r = 13 + 2r Solving -20 + 5g + 4r = 13 + 2r Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 5g + 20 + 4r = 13 + 20 + 2r Reorder the terms: -20 + 20 + 5g + 4r = 13 + 20 + 2r Combine like terms: -20 + 20 = 0 0 + 5g + 4r = 13 + 20 + 2r 5g + 4r = 13 + 20 + 2r Combine like terms: 13 + 20 = 33 5g + 4r = 33 + 2r Add '-4r' to each side of the equation. 5g + 4r + -4r = 33 + 2r + -4r Combine like terms: 4r + -4r = 0 5g + 0 = 33 + 2r + -4r 5g = 33 + 2r + -4r Combine like terms: 2r + -4r = -2r 5g = 33 + -2r Divide each side by '5'. g = 6.6 + -0.4r Simplifying g = 6.6 + -0.4r
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