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Simplifying -14 = 2(v + -5) + 2v Reorder the terms: -14 = 2(-5 + v) + 2v -14 = (-5 * 2 + v * 2) + 2v -14 = (-10 + 2v) + 2v Combine like terms: 2v + 2v = 4v -14 = -10 + 4v Solving -14 = -10 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -14 + -4v = -10 + 4v + -4v Combine like terms: 4v + -4v = 0 -14 + -4v = -10 + 0 -14 + -4v = -10 Add '14' to each side of the equation. -14 + 14 + -4v = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -4v = -10 + 14 -4v = -10 + 14 Combine like terms: -10 + 14 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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