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Simplifying 6 + 2(g + 4) = -11g + 4(g + 9) + 15 Reorder the terms: 6 + 2(4 + g) = -11g + 4(g + 9) + 15 6 + (4 * 2 + g * 2) = -11g + 4(g + 9) + 15 6 + (8 + 2g) = -11g + 4(g + 9) + 15 Combine like terms: 6 + 8 = 14 14 + 2g = -11g + 4(g + 9) + 15 Reorder the terms: 14 + 2g = -11g + 4(9 + g) + 15 14 + 2g = -11g + (9 * 4 + g * 4) + 15 14 + 2g = -11g + (36 + 4g) + 15 Reorder the terms: 14 + 2g = 36 + 15 + -11g + 4g Combine like terms: 36 + 15 = 51 14 + 2g = 51 + -11g + 4g Combine like terms: -11g + 4g = -7g 14 + 2g = 51 + -7g Solving 14 + 2g = 51 + -7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7g' to each side of the equation. 14 + 2g + 7g = 51 + -7g + 7g Combine like terms: 2g + 7g = 9g 14 + 9g = 51 + -7g + 7g Combine like terms: -7g + 7g = 0 14 + 9g = 51 + 0 14 + 9g = 51 Add '-14' to each side of the equation. 14 + -14 + 9g = 51 + -14 Combine like terms: 14 + -14 = 0 0 + 9g = 51 + -14 9g = 51 + -14 Combine like terms: 51 + -14 = 37 9g = 37 Divide each side by '9'. g = 4.111111111 Simplifying g = 4.111111111
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