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