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Simplifying 2(3g + 2) = 1 + -2(12g + 8) Reorder the terms: 2(2 + 3g) = 1 + -2(12g + 8) (2 * 2 + 3g * 2) = 1 + -2(12g + 8) (4 + 6g) = 1 + -2(12g + 8) Reorder the terms: 4 + 6g = 1 + -2(8 + 12g) 4 + 6g = 1 + (8 * -2 + 12g * -2) 4 + 6g = 1 + (-16 + -24g) Combine like terms: 1 + -16 = -15 4 + 6g = -15 + -24g Solving 4 + 6g = -15 + -24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '24g' to each side of the equation. 4 + 6g + 24g = -15 + -24g + 24g Combine like terms: 6g + 24g = 30g 4 + 30g = -15 + -24g + 24g Combine like terms: -24g + 24g = 0 4 + 30g = -15 + 0 4 + 30g = -15 Add '-4' to each side of the equation. 4 + -4 + 30g = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 30g = -15 + -4 30g = -15 + -4 Combine like terms: -15 + -4 = -19 30g = -19 Divide each side by '30'. g = -0.6333333333 Simplifying g = -0.6333333333
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