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Simplifying 21 = -6v + 3(v + 6) Reorder the terms: 21 = -6v + 3(6 + v) 21 = -6v + (6 * 3 + v * 3) 21 = -6v + (18 + 3v) Reorder the terms: 21 = 18 + -6v + 3v Combine like terms: -6v + 3v = -3v 21 = 18 + -3v Solving 21 = 18 + -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 = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 21 + 3v = 18 + 0 21 + 3v = 18 Add '-21' to each side of the equation. 21 + -21 + 3v = 18 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 18 + -21 3v = 18 + -21 Combine like terms: 18 + -21 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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