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Simplifying -4v + -14 = -2(v + -1) Reorder the terms: -14 + -4v = -2(v + -1) Reorder the terms: -14 + -4v = -2(-1 + v) -14 + -4v = (-1 * -2 + v * -2) -14 + -4v = (2 + -2v) Solving -14 + -4v = 2 + -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. -14 + -4v + 2v = 2 + -2v + 2v Combine like terms: -4v + 2v = -2v -14 + -2v = 2 + -2v + 2v Combine like terms: -2v + 2v = 0 -14 + -2v = 2 + 0 -14 + -2v = 2 Add '14' to each side of the equation. -14 + 14 + -2v = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = 2 + 14 -2v = 2 + 14 Combine like terms: 2 + 14 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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