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Simplifying 3v + 21 = 2(6v + 7) + 7 Reorder the terms: 21 + 3v = 2(6v + 7) + 7 Reorder the terms: 21 + 3v = 2(7 + 6v) + 7 21 + 3v = (7 * 2 + 6v * 2) + 7 21 + 3v = (14 + 12v) + 7 Reorder the terms: 21 + 3v = 14 + 7 + 12v Combine like terms: 14 + 7 = 21 21 + 3v = 21 + 12v Add '-21' to each side of the equation. 21 + -21 + 3v = 21 + -21 + 12v Combine like terms: 21 + -21 = 0 0 + 3v = 21 + -21 + 12v 3v = 21 + -21 + 12v Combine like terms: 21 + -21 = 0 3v = 0 + 12v 3v = 12v Solving 3v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 3v + -12v = 12v + -12v Combine like terms: 3v + -12v = -9v -9v = 12v + -12v Combine like terms: 12v + -12v = 0 -9v = 0 Divide each side by '-9'. v = 0 Simplifying v = 0
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