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