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