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Simplifying 4 = 2(v + 6) + -4v Reorder the terms: 4 = 2(6 + v) + -4v 4 = (6 * 2 + v * 2) + -4v 4 = (12 + 2v) + -4v Combine like terms: 2v + -4v = -2v 4 = 12 + -2v Solving 4 = 12 + -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 = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 2v = 12 + 0 4 + 2v = 12 Add '-4' to each side of the equation. 4 + -4 + 2v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2v = 12 + -4 2v = 12 + -4 Combine like terms: 12 + -4 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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