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Simplifying 14 + -6v = -2v + -2(4 + 3v) 14 + -6v = -2v + (4 * -2 + 3v * -2) 14 + -6v = -2v + (-8 + -6v) Reorder the terms: 14 + -6v = -8 + -2v + -6v Combine like terms: -2v + -6v = -8v 14 + -6v = -8 + -8v Solving 14 + -6v = -8 + -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. 14 + -6v + 8v = -8 + -8v + 8v Combine like terms: -6v + 8v = 2v 14 + 2v = -8 + -8v + 8v Combine like terms: -8v + 8v = 0 14 + 2v = -8 + 0 14 + 2v = -8 Add '-14' to each side of the equation. 14 + -14 + 2v = -8 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = -8 + -14 2v = -8 + -14 Combine like terms: -8 + -14 = -22 2v = -22 Divide each side by '2'. v = -11 Simplifying v = -11
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