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Simplifying 14 = 3(v + -2) + -5v Reorder the terms: 14 = 3(-2 + v) + -5v 14 = (-2 * 3 + v * 3) + -5v 14 = (-6 + 3v) + -5v Combine like terms: 3v + -5v = -2v 14 = -6 + -2v Solving 14 = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 14 + 2v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 14 + 2v = -6 + 0 14 + 2v = -6 Add '-14' to each side of the equation. 14 + -14 + 2v = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = -6 + -14 2v = -6 + -14 Combine like terms: -6 + -14 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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