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Simplifying 21 = 3(v + 2) + -6v Reorder the terms: 21 = 3(2 + v) + -6v 21 = (2 * 3 + v * 3) + -6v 21 = (6 + 3v) + -6v Combine like terms: 3v + -6v = -3v 21 = 6 + -3v Solving 21 = 6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 21 + 3v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 21 + 3v = 6 + 0 21 + 3v = 6 Add '-21' to each side of the equation. 21 + -21 + 3v = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 6 + -21 3v = 6 + -21 Combine like terms: 6 + -21 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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