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Simplifying 8v + 6 + -2v = -4v + -14 Reorder the terms: 6 + 8v + -2v = -4v + -14 Combine like terms: 8v + -2v = 6v 6 + 6v = -4v + -14 Reorder the terms: 6 + 6v = -14 + -4v Solving 6 + 6v = -14 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 6 + 6v + 4v = -14 + -4v + 4v Combine like terms: 6v + 4v = 10v 6 + 10v = -14 + -4v + 4v Combine like terms: -4v + 4v = 0 6 + 10v = -14 + 0 6 + 10v = -14 Add '-6' to each side of the equation. 6 + -6 + 10v = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 10v = -14 + -6 10v = -14 + -6 Combine like terms: -14 + -6 = -20 10v = -20 Divide each side by '10'. v = -2 Simplifying v = -2
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