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Simplifying 2(n + 12) = 2(n + g) + 6 Reorder the terms: 2(12 + n) = 2(n + g) + 6 (12 * 2 + n * 2) = 2(n + g) + 6 (24 + 2n) = 2(n + g) + 6 Reorder the terms: 24 + 2n = 2(g + n) + 6 24 + 2n = (g * 2 + n * 2) + 6 24 + 2n = (2g + 2n) + 6 Reorder the terms: 24 + 2n = 6 + 2g + 2n Add '-2n' to each side of the equation. 24 + 2n + -2n = 6 + 2g + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 0 = 6 + 2g + 2n + -2n 24 = 6 + 2g + 2n + -2n Combine like terms: 2n + -2n = 0 24 = 6 + 2g + 0 24 = 6 + 2g Solving 24 = 6 + 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. 24 + -2g = 6 + 2g + -2g Combine like terms: 2g + -2g = 0 24 + -2g = 6 + 0 24 + -2g = 6 Add '-24' to each side of the equation. 24 + -24 + -2g = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -2g = 6 + -24 -2g = 6 + -24 Combine like terms: 6 + -24 = -18 -2g = -18 Divide each side by '-2'. g = 9 Simplifying g = 9
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