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