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Simplifying 6 = -4v + 2(v + 2) Reorder the terms: 6 = -4v + 2(2 + v) 6 = -4v + (2 * 2 + v * 2) 6 = -4v + (4 + 2v) Reorder the terms: 6 = 4 + -4v + 2v Combine like terms: -4v + 2v = -2v 6 = 4 + -2v Solving 6 = 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. 6 + 2v = 4 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 2v = 4 + 0 6 + 2v = 4 Add '-6' to each side of the equation. 6 + -6 + 2v = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 4 + -6 2v = 4 + -6 Combine like terms: 4 + -6 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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