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