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Simplifying 2 + 6v = 4(3 + 2v) 2 + 6v = (3 * 4 + 2v * 4) 2 + 6v = (12 + 8v) Solving 2 + 6v = 12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 2 + 6v + -8v = 12 + 8v + -8v Combine like terms: 6v + -8v = -2v 2 + -2v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -2v = 12 + 0 2 + -2v = 12 Add '-2' to each side of the equation. 2 + -2 + -2v = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = 12 + -2 -2v = 12 + -2 Combine like terms: 12 + -2 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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