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Simplifying 2(3g + 1) = 2(17 + -5g) Reorder the terms: 2(1 + 3g) = 2(17 + -5g) (1 * 2 + 3g * 2) = 2(17 + -5g) (2 + 6g) = 2(17 + -5g) 2 + 6g = (17 * 2 + -5g * 2) 2 + 6g = (34 + -10g) Solving 2 + 6g = 34 + -10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10g' to each side of the equation. 2 + 6g + 10g = 34 + -10g + 10g Combine like terms: 6g + 10g = 16g 2 + 16g = 34 + -10g + 10g Combine like terms: -10g + 10g = 0 2 + 16g = 34 + 0 2 + 16g = 34 Add '-2' to each side of the equation. 2 + -2 + 16g = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 16g = 34 + -2 16g = 34 + -2 Combine like terms: 34 + -2 = 32 16g = 32 Divide each side by '16'. g = 2 Simplifying g = 2
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