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Simplifying 14 = -5v + 2(v + 4) Reorder the terms: 14 = -5v + 2(4 + v) 14 = -5v + (4 * 2 + v * 2) 14 = -5v + (8 + 2v) Reorder the terms: 14 = 8 + -5v + 2v Combine like terms: -5v + 2v = -3v 14 = 8 + -3v Solving 14 = 8 + -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. 14 + 3v = 8 + -3v + 3v Combine like terms: -3v + 3v = 0 14 + 3v = 8 + 0 14 + 3v = 8 Add '-14' to each side of the equation. 14 + -14 + 3v = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3v = 8 + -14 3v = 8 + -14 Combine like terms: 8 + -14 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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