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Simplifying v + -6 = 3v + 8 Reorder the terms: -6 + v = 3v + 8 Reorder the terms: -6 + v = 8 + 3v Solving -6 + v = 8 + 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. -6 + v + -3v = 8 + 3v + -3v Combine like terms: v + -3v = -2v -6 + -2v = 8 + 3v + -3v Combine like terms: 3v + -3v = 0 -6 + -2v = 8 + 0 -6 + -2v = 8 Add '6' to each side of the equation. -6 + 6 + -2v = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2v = 8 + 6 -2v = 8 + 6 Combine like terms: 8 + 6 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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