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Simplifying 2(1 + g) = 4 + -1(3g + -8) (1 * 2 + g * 2) = 4 + -1(3g + -8) (2 + 2g) = 4 + -1(3g + -8) Reorder the terms: 2 + 2g = 4 + -1(-8 + 3g) 2 + 2g = 4 + (-8 * -1 + 3g * -1) 2 + 2g = 4 + (8 + -3g) Combine like terms: 4 + 8 = 12 2 + 2g = 12 + -3g Solving 2 + 2g = 12 + -3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g' to each side of the equation. 2 + 2g + 3g = 12 + -3g + 3g Combine like terms: 2g + 3g = 5g 2 + 5g = 12 + -3g + 3g Combine like terms: -3g + 3g = 0 2 + 5g = 12 + 0 2 + 5g = 12 Add '-2' to each side of the equation. 2 + -2 + 5g = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5g = 12 + -2 5g = 12 + -2 Combine like terms: 12 + -2 = 10 5g = 10 Divide each side by '5'. g = 2 Simplifying g = 2
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