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Simplifying 6(g + 3) = 2(g + 31) Reorder the terms: 6(3 + g) = 2(g + 31) (3 * 6 + g * 6) = 2(g + 31) (18 + 6g) = 2(g + 31) Reorder the terms: 18 + 6g = 2(31 + g) 18 + 6g = (31 * 2 + g * 2) 18 + 6g = (62 + 2g) Solving 18 + 6g = 62 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. 18 + 6g + -2g = 62 + 2g + -2g Combine like terms: 6g + -2g = 4g 18 + 4g = 62 + 2g + -2g Combine like terms: 2g + -2g = 0 18 + 4g = 62 + 0 18 + 4g = 62 Add '-18' to each side of the equation. 18 + -18 + 4g = 62 + -18 Combine like terms: 18 + -18 = 0 0 + 4g = 62 + -18 4g = 62 + -18 Combine like terms: 62 + -18 = 44 4g = 44 Divide each side by '4'. g = 11 Simplifying g = 11
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