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Simplifying 18 = 2(g + 4) + 3(2g + -6) Reorder the terms: 18 = 2(4 + g) + 3(2g + -6) 18 = (4 * 2 + g * 2) + 3(2g + -6) 18 = (8 + 2g) + 3(2g + -6) Reorder the terms: 18 = 8 + 2g + 3(-6 + 2g) 18 = 8 + 2g + (-6 * 3 + 2g * 3) 18 = 8 + 2g + (-18 + 6g) Reorder the terms: 18 = 8 + -18 + 2g + 6g Combine like terms: 8 + -18 = -10 18 = -10 + 2g + 6g Combine like terms: 2g + 6g = 8g 18 = -10 + 8g Solving 18 = -10 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. 18 + -8g = -10 + 8g + -8g Combine like terms: 8g + -8g = 0 18 + -8g = -10 + 0 18 + -8g = -10 Add '-18' to each side of the equation. 18 + -18 + -8g = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -8g = -10 + -18 -8g = -10 + -18 Combine like terms: -10 + -18 = -28 -8g = -28 Divide each side by '-8'. g = 3.5 Simplifying g = 3.5
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