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Simplifying 14 + -7 + 8v + 2v = 8v + v Combine like terms: 14 + -7 = 7 7 + 8v + 2v = 8v + v Combine like terms: 8v + 2v = 10v 7 + 10v = 8v + v Combine like terms: 8v + v = 9v 7 + 10v = 9v Solving 7 + 10v = 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 7 + 10v + -9v = 9v + -9v Combine like terms: 10v + -9v = 1v 7 + 1v = 9v + -9v Combine like terms: 9v + -9v = 0 7 + 1v = 0 Add '-7' to each side of the equation. 7 + -7 + 1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 0 + -7 1v = 0 + -7 Combine like terms: 0 + -7 = -7 1v = -7 Divide each side by '1'. v = -7 Simplifying v = -7
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