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Simplifying 2g + -3(-4 + 5g) = 1 + -1g 2g + (-4 * -3 + 5g * -3) = 1 + -1g 2g + (12 + -15g) = 1 + -1g Reorder the terms: 12 + 2g + -15g = 1 + -1g Combine like terms: 2g + -15g = -13g 12 + -13g = 1 + -1g Solving 12 + -13g = 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. 12 + -13g + g = 1 + -1g + g Combine like terms: -13g + g = -12g 12 + -12g = 1 + -1g + g Combine like terms: -1g + g = 0 12 + -12g = 1 + 0 12 + -12g = 1 Add '-12' to each side of the equation. 12 + -12 + -12g = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -12g = 1 + -12 -12g = 1 + -12 Combine like terms: 1 + -12 = -11 -12g = -11 Divide each side by '-12'. g = 0.9166666667 Simplifying g = 0.9166666667
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