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Simplifying v + 4 = 3v + -5v + -14 Reorder the terms: 4 + v = 3v + -5v + -14 Reorder the terms: 4 + v = -14 + 3v + -5v Combine like terms: 3v + -5v = -2v 4 + v = -14 + -2v Solving 4 + v = -14 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 4 + v + 2v = -14 + -2v + 2v Combine like terms: v + 2v = 3v 4 + 3v = -14 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 3v = -14 + 0 4 + 3v = -14 Add '-4' to each side of the equation. 4 + -4 + 3v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = -14 + -4 3v = -14 + -4 Combine like terms: -14 + -4 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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