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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 = -7g 20 + -7g = 1 + -1g Solving 20 + -7g = 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 + -7g + g = 1 + -1g + g Combine like terms: -7g + g = -6g 20 + -6g = 1 + -1g + g Combine like terms: -1g + g = 0 20 + -6g = 1 + 0 20 + -6g = 1 Add '-20' to each side of the equation. 20 + -20 + -6g = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -6g = 1 + -20 -6g = 1 + -20 Combine like terms: 1 + -20 = -19 -6g = -19 Divide each side by '-6'. g = 3.166666667 Simplifying g = 3.166666667
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