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Simplifying 2 + v = 3(6 + v) 2 + v = (6 * 3 + v * 3) 2 + v = (18 + 3v) Solving 2 + v = 18 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 2 + v + -3v = 18 + 3v + -3v Combine like terms: v + -3v = -2v 2 + -2v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 2 + -2v = 18 + 0 2 + -2v = 18 Add '-2' to each side of the equation. 2 + -2 + -2v = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = 18 + -2 -2v = 18 + -2 Combine like terms: 18 + -2 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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