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Simplifying 4 = -4v + 2(v + 7) Reorder the terms: 4 = -4v + 2(7 + v) 4 = -4v + (7 * 2 + v * 2) 4 = -4v + (14 + 2v) Reorder the terms: 4 = 14 + -4v + 2v Combine like terms: -4v + 2v = -2v 4 = 14 + -2v Solving 4 = 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. 4 + 2v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 2v = 14 + 0 4 + 2v = 14 Add '-4' to each side of the equation. 4 + -4 + 2v = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2v = 14 + -4 2v = 14 + -4 Combine like terms: 14 + -4 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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