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Simplifying 2(v + 2) + -5v = -14 Reorder the terms: 2(2 + v) + -5v = -14 (2 * 2 + v * 2) + -5v = -14 (4 + 2v) + -5v = -14 Combine like terms: 2v + -5v = -3v 4 + -3v = -14 Solving 4 + -3v = -14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = -14 + -4 -3v = -14 + -4 Combine like terms: -14 + -4 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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