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Simplifying 4v + -4v + 6 = 2v + -8 Reorder the terms: 6 + 4v + -4v = 2v + -8 Combine like terms: 4v + -4v = 0 6 + 0 = 2v + -8 6 = 2v + -8 Reorder the terms: 6 = -8 + 2v Solving 6 = -8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 6 + -2v = -8 + 2v + -2v Combine like terms: 2v + -2v = 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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