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Simplifying 5g + 3(-5 + 4g) = 1 + -1g 5g + (-5 * 3 + 4g * 3) = 1 + -1g 5g + (-15 + 12g) = 1 + -1g Reorder the terms: -15 + 5g + 12g = 1 + -1g Combine like terms: 5g + 12g = 17g -15 + 17g = 1 + -1g Solving -15 + 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. -15 + 17g + g = 1 + -1g + g Combine like terms: 17g + g = 18g -15 + 18g = 1 + -1g + g Combine like terms: -1g + g = 0 -15 + 18g = 1 + 0 -15 + 18g = 1 Add '15' to each side of the equation. -15 + 15 + 18g = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 18g = 1 + 15 18g = 1 + 15 Combine like terms: 1 + 15 = 16 18g = 16 Divide each side by '18'. g = 0.8888888889 Simplifying g = 0.8888888889
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