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