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Simplifying 14 + 2v = 1 + 5v + -8 Reorder the terms: 14 + 2v = 1 + -8 + 5v Combine like terms: 1 + -8 = -7 14 + 2v = -7 + 5v Solving 14 + 2v = -7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 14 + 2v + -5v = -7 + 5v + -5v Combine like terms: 2v + -5v = -3v 14 + -3v = -7 + 5v + -5v Combine like terms: 5v + -5v = 0 14 + -3v = -7 + 0 14 + -3v = -7 Add '-14' to each side of the equation. 14 + -14 + -3v = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -3v = -7 + -14 -3v = -7 + -14 Combine like terms: -7 + -14 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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