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Simplifying 3(4g + 7) + -4g = 6(6g + -3) + 2 Reorder the terms: 3(7 + 4g) + -4g = 6(6g + -3) + 2 (7 * 3 + 4g * 3) + -4g = 6(6g + -3) + 2 (21 + 12g) + -4g = 6(6g + -3) + 2 Combine like terms: 12g + -4g = 8g 21 + 8g = 6(6g + -3) + 2 Reorder the terms: 21 + 8g = 6(-3 + 6g) + 2 21 + 8g = (-3 * 6 + 6g * 6) + 2 21 + 8g = (-18 + 36g) + 2 Reorder the terms: 21 + 8g = -18 + 2 + 36g Combine like terms: -18 + 2 = -16 21 + 8g = -16 + 36g Solving 21 + 8g = -16 + 36g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36g' to each side of the equation. 21 + 8g + -36g = -16 + 36g + -36g Combine like terms: 8g + -36g = -28g 21 + -28g = -16 + 36g + -36g Combine like terms: 36g + -36g = 0 21 + -28g = -16 + 0 21 + -28g = -16 Add '-21' to each side of the equation. 21 + -21 + -28g = -16 + -21 Combine like terms: 21 + -21 = 0 0 + -28g = -16 + -21 -28g = -16 + -21 Combine like terms: -16 + -21 = -37 -28g = -37 Divide each side by '-28'. g = 1.321428571 Simplifying g = 1.321428571
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