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Simplifying 6v + 2 = 8v + -12 Reorder the terms: 2 + 6v = 8v + -12 Reorder the terms: 2 + 6v = -12 + 8v Solving 2 + 6v = -12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 2 + 6v + -8v = -12 + 8v + -8v Combine like terms: 6v + -8v = -2v 2 + -2v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -2v = -12 + 0 2 + -2v = -12 Add '-2' to each side of the equation. 2 + -2 + -2v = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = -12 + -2 -2v = -12 + -2 Combine like terms: -12 + -2 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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