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Simplifying 4(3 + -5g) + -2g = 6g + -268 (3 * 4 + -5g * 4) + -2g = 6g + -268 (12 + -20g) + -2g = 6g + -268 Combine like terms: -20g + -2g = -22g 12 + -22g = 6g + -268 Reorder the terms: 12 + -22g = -268 + 6g Solving 12 + -22g = -268 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 12 + -22g + -6g = -268 + 6g + -6g Combine like terms: -22g + -6g = -28g 12 + -28g = -268 + 6g + -6g Combine like terms: 6g + -6g = 0 12 + -28g = -268 + 0 12 + -28g = -268 Add '-12' to each side of the equation. 12 + -12 + -28g = -268 + -12 Combine like terms: 12 + -12 = 0 0 + -28g = -268 + -12 -28g = -268 + -12 Combine like terms: -268 + -12 = -280 -28g = -280 Divide each side by '-28'. g = 10 Simplifying g = 10
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