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Simplifying 3(2g + 7) = 5(12 + 4g) + 3 Reorder the terms: 3(7 + 2g) = 5(12 + 4g) + 3 (7 * 3 + 2g * 3) = 5(12 + 4g) + 3 (21 + 6g) = 5(12 + 4g) + 3 21 + 6g = (12 * 5 + 4g * 5) + 3 21 + 6g = (60 + 20g) + 3 Reorder the terms: 21 + 6g = 60 + 3 + 20g Combine like terms: 60 + 3 = 63 21 + 6g = 63 + 20g Solving 21 + 6g = 63 + 20g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20g' to each side of the equation. 21 + 6g + -20g = 63 + 20g + -20g Combine like terms: 6g + -20g = -14g 21 + -14g = 63 + 20g + -20g Combine like terms: 20g + -20g = 0 21 + -14g = 63 + 0 21 + -14g = 63 Add '-21' to each side of the equation. 21 + -21 + -14g = 63 + -21 Combine like terms: 21 + -21 = 0 0 + -14g = 63 + -21 -14g = 63 + -21 Combine like terms: 63 + -21 = 42 -14g = 42 Divide each side by '-14'. g = -3 Simplifying g = -3
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