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Simplifying 6v + 3 + 7 = -8 + v + -3 + 2v Reorder the terms: 3 + 7 + 6v = -8 + v + -3 + 2v Combine like terms: 3 + 7 = 10 10 + 6v = -8 + v + -3 + 2v Reorder the terms: 10 + 6v = -8 + -3 + v + 2v Combine like terms: -8 + -3 = -11 10 + 6v = -11 + v + 2v Combine like terms: v + 2v = 3v 10 + 6v = -11 + 3v Solving 10 + 6v = -11 + 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. 10 + 6v + -3v = -11 + 3v + -3v Combine like terms: 6v + -3v = 3v 10 + 3v = -11 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + 3v = -11 + 0 10 + 3v = -11 Add '-10' to each side of the equation. 10 + -10 + 3v = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = -11 + -10 3v = -11 + -10 Combine like terms: -11 + -10 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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