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Simplifying 18 + -14v + 5v = 1 + 2v + 6v Combine like terms: -14v + 5v = -9v 18 + -9v = 1 + 2v + 6v Combine like terms: 2v + 6v = 8v 18 + -9v = 1 + 8v Solving 18 + -9v = 1 + 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. 18 + -9v + -8v = 1 + 8v + -8v Combine like terms: -9v + -8v = -17v 18 + -17v = 1 + 8v + -8v Combine like terms: 8v + -8v = 0 18 + -17v = 1 + 0 18 + -17v = 1 Add '-18' to each side of the equation. 18 + -18 + -17v = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -17v = 1 + -18 -17v = 1 + -18 Combine like terms: 1 + -18 = -17 -17v = -17 Divide each side by '-17'. v = 1 Simplifying v = 1
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