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Simplifying 8v + 6 = 6(v + 2) Reorder the terms: 6 + 8v = 6(v + 2) Reorder the terms: 6 + 8v = 6(2 + v) 6 + 8v = (2 * 6 + v * 6) 6 + 8v = (12 + 6v) Solving 6 + 8v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 6 + 8v + -6v = 12 + 6v + -6v Combine like terms: 8v + -6v = 2v 6 + 2v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 6 + 2v = 12 + 0 6 + 2v = 12 Add '-6' to each side of the equation. 6 + -6 + 2v = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 12 + -6 2v = 12 + -6 Combine like terms: 12 + -6 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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