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Simplifying 9(g + 2) + -4 = 7g + 3(3g + 8) Reorder the terms: 9(2 + g) + -4 = 7g + 3(3g + 8) (2 * 9 + g * 9) + -4 = 7g + 3(3g + 8) (18 + 9g) + -4 = 7g + 3(3g + 8) Reorder the terms: 18 + -4 + 9g = 7g + 3(3g + 8) Combine like terms: 18 + -4 = 14 14 + 9g = 7g + 3(3g + 8) Reorder the terms: 14 + 9g = 7g + 3(8 + 3g) 14 + 9g = 7g + (8 * 3 + 3g * 3) 14 + 9g = 7g + (24 + 9g) Reorder the terms: 14 + 9g = 24 + 7g + 9g Combine like terms: 7g + 9g = 16g 14 + 9g = 24 + 16g Solving 14 + 9g = 24 + 16g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16g' to each side of the equation. 14 + 9g + -16g = 24 + 16g + -16g Combine like terms: 9g + -16g = -7g 14 + -7g = 24 + 16g + -16g Combine like terms: 16g + -16g = 0 14 + -7g = 24 + 0 14 + -7g = 24 Add '-14' to each side of the equation. 14 + -14 + -7g = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -7g = 24 + -14 -7g = 24 + -14 Combine like terms: 24 + -14 = 10 -7g = 10 Divide each side by '-7'. g = -1.428571429 Simplifying g = -1.428571429
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