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Simplifying 5g + 4(-5 + 3g) = 1 + (-1g) 5g + (-5 * 4 + 3g * 4) = 1 + (-1g) 5g + (-20 + 12g) = 1 + (-1g) Reorder the terms: -20 + 5g + 12g = 1 + (-1g) Combine like terms: 5g + 12g = 17g -20 + 17g = 1 + (-1g) Solving -20 + 17g = 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 + 17g + (g) = 1 + (-1g) + (g) -20 + 17g + g = 1 + (-1g) + (g) Combine like terms: 17g + g = 18g -20 + 18g = 1 + (-1g) + (g) -20 + 18g = 1 + (-1g) + g Combine like terms: (-1g) + g = 0 -20 + 18g = 1 + 0 -20 + 18g = 1 Add '20' to each side of the equation. -20 + 20 + 18g = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 18g = 1 + 20 18g = 1 + 20 Combine like terms: 1 + 20 = 21 18g = 21 Divide each side by '18'. g = 1.166666667 Simplifying g = 1.166666667
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