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Simplifying 14 + -6v = -4(2v + -1) Reorder the terms: 14 + -6v = -4(-1 + 2v) 14 + -6v = (-1 * -4 + 2v * -4) 14 + -6v = (4 + -8v) Solving 14 + -6v = 4 + -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 = 4 + -8v + 8v Combine like terms: -6v + 8v = 2v 14 + 2v = 4 + -8v + 8v Combine like terms: -8v + 8v = 0 14 + 2v = 4 + 0 14 + 2v = 4 Add '-14' to each side of the equation. 14 + -14 + 2v = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 4 + -14 2v = 4 + -14 Combine like terms: 4 + -14 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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