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Simplifying -2g + 4(4 + g) = 2g + -4(6 + -3g) -2g + (4 * 4 + g * 4) = 2g + -4(6 + -3g) -2g + (16 + 4g) = 2g + -4(6 + -3g) Reorder the terms: 16 + -2g + 4g = 2g + -4(6 + -3g) Combine like terms: -2g + 4g = 2g 16 + 2g = 2g + -4(6 + -3g) 16 + 2g = 2g + (6 * -4 + -3g * -4) 16 + 2g = 2g + (-24 + 12g) Reorder the terms: 16 + 2g = -24 + 2g + 12g Combine like terms: 2g + 12g = 14g 16 + 2g = -24 + 14g Solving 16 + 2g = -24 + 14g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14g' to each side of the equation. 16 + 2g + -14g = -24 + 14g + -14g Combine like terms: 2g + -14g = -12g 16 + -12g = -24 + 14g + -14g Combine like terms: 14g + -14g = 0 16 + -12g = -24 + 0 16 + -12g = -24 Add '-16' to each side of the equation. 16 + -16 + -12g = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -12g = -24 + -16 -12g = -24 + -16 Combine like terms: -24 + -16 = -40 -12g = -40 Divide each side by '-12'. g = 3.333333333 Simplifying g = 3.333333333
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