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Simplifying -4v + -14 = -2(v + -3) Reorder the terms: -14 + -4v = -2(v + -3) Reorder the terms: -14 + -4v = -2(-3 + v) -14 + -4v = (-3 * -2 + v * -2) -14 + -4v = (6 + -2v) Solving -14 + -4v = 6 + -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 = 6 + -2v + 2v Combine like terms: -4v + 2v = -2v -14 + -2v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -14 + -2v = 6 + 0 -14 + -2v = 6 Add '14' to each side of the equation. -14 + 14 + -2v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = 6 + 14 -2v = 6 + 14 Combine like terms: 6 + 14 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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