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Simplifying 5q + 4(-5 + 3g) = 1 + -1g 5q + (-5 * 4 + 3g * 4) = 1 + -1g 5q + (-20 + 12g) = 1 + -1g Reorder the terms: -20 + 12g + 5q = 1 + -1g Solving -20 + 12g + 5q = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -20 + 12g + g + 5q = 1 + -1g + g Combine like terms: 12g + g = 13g -20 + 13g + 5q = 1 + -1g + g Combine like terms: -1g + g = 0 -20 + 13g + 5q = 1 + 0 -20 + 13g + 5q = 1 Add '20' to each side of the equation. -20 + 13g + 20 + 5q = 1 + 20 Reorder the terms: -20 + 20 + 13g + 5q = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 13g + 5q = 1 + 20 13g + 5q = 1 + 20 Combine like terms: 1 + 20 = 21 13g + 5q = 21 Add '-5q' to each side of the equation. 13g + 5q + -5q = 21 + -5q Combine like terms: 5q + -5q = 0 13g + 0 = 21 + -5q 13g = 21 + -5q Divide each side by '13'. g = 1.615384615 + -0.3846153846q Simplifying g = 1.615384615 + -0.3846153846q
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