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Simplifying 6 = 2(v + 8) + -4v Reorder the terms: 6 = 2(8 + v) + -4v 6 = (8 * 2 + v * 2) + -4v 6 = (16 + 2v) + -4v Combine like terms: 2v + -4v = -2v 6 = 16 + -2v Solving 6 = 16 + -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 = 16 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 2v = 16 + 0 6 + 2v = 16 Add '-6' to each side of the equation. 6 + -6 + 2v = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 16 + -6 2v = 16 + -6 Combine like terms: 16 + -6 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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