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Simplifying 12 = 5g + -10 + 2(g + 2) Reorder the terms: 12 = 5g + -10 + 2(2 + g) 12 = 5g + -10 + (2 * 2 + g * 2) 12 = 5g + -10 + (4 + 2g) Reorder the terms: 12 = -10 + 4 + 5g + 2g Combine like terms: -10 + 4 = -6 12 = -6 + 5g + 2g Combine like terms: 5g + 2g = 7g 12 = -6 + 7g Solving 12 = -6 + 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. 12 + -7g = -6 + 7g + -7g Combine like terms: 7g + -7g = 0 12 + -7g = -6 + 0 12 + -7g = -6 Add '-12' to each side of the equation. 12 + -12 + -7g = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -7g = -6 + -12 -7g = -6 + -12 Combine like terms: -6 + -12 = -18 -7g = -18 Divide each side by '-7'. g = 2.571428571 Simplifying g = 2.571428571
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