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Simplifying 14 = 5v + -2(v + -1) Reorder the terms: 14 = 5v + -2(-1 + v) 14 = 5v + (-1 * -2 + v * -2) 14 = 5v + (2 + -2v) Reorder the terms: 14 = 2 + 5v + -2v Combine like terms: 5v + -2v = 3v 14 = 2 + 3v Solving 14 = 2 + 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 = 2 + 3v + -3v Combine like terms: 3v + -3v = 0 14 + -3v = 2 + 0 14 + -3v = 2 Add '-14' to each side of the equation. 14 + -14 + -3v = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -3v = 2 + -14 -3v = 2 + -14 Combine like terms: 2 + -14 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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