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Simplifying 2 = 2(v + 7) + -4v Reorder the terms: 2 = 2(7 + v) + -4v 2 = (7 * 2 + v * 2) + -4v 2 = (14 + 2v) + -4v Combine like terms: 2v + -4v = -2v 2 = 14 + -2v Solving 2 = 14 + -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 + 2v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 2v = 14 + 0 2 + 2v = 14 Add '-2' to each side of the equation. 2 + -2 + 2v = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2v = 14 + -2 2v = 14 + -2 Combine like terms: 14 + -2 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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