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Simplifying 3(4 + v) = 18 + v (4 * 3 + v * 3) = 18 + v (12 + 3v) = 18 + v Solving 12 + 3v = 18 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 12 + 3v + -1v = 18 + v + -1v Combine like terms: 3v + -1v = 2v 12 + 2v = 18 + v + -1v Combine like terms: v + -1v = 0 12 + 2v = 18 + 0 12 + 2v = 18 Add '-12' to each side of the equation. 12 + -12 + 2v = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 18 + -12 2v = 18 + -12 Combine like terms: 18 + -12 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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