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Simplifying 3(v + 6) = -6(2v + -1) + v Reorder the terms: 3(6 + v) = -6(2v + -1) + v (6 * 3 + v * 3) = -6(2v + -1) + v (18 + 3v) = -6(2v + -1) + v Reorder the terms: 18 + 3v = -6(-1 + 2v) + v 18 + 3v = (-1 * -6 + 2v * -6) + v 18 + 3v = (6 + -12v) + v Combine like terms: -12v + v = -11v 18 + 3v = 6 + -11v Solving 18 + 3v = 6 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 18 + 3v + 11v = 6 + -11v + 11v Combine like terms: 3v + 11v = 14v 18 + 14v = 6 + -11v + 11v Combine like terms: -11v + 11v = 0 18 + 14v = 6 + 0 18 + 14v = 6 Add '-18' to each side of the equation. 18 + -18 + 14v = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 14v = 6 + -18 14v = 6 + -18 Combine like terms: 6 + -18 = -12 14v = -12 Divide each side by '14'. v = -0.8571428571 Simplifying v = -0.8571428571
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