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Simplifying 14 + 2v = 3(v + 5) Reorder the terms: 14 + 2v = 3(5 + v) 14 + 2v = (5 * 3 + v * 3) 14 + 2v = (15 + 3v) Solving 14 + 2v = 15 + 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 + 2v + -3v = 15 + 3v + -3v Combine like terms: 2v + -3v = -1v 14 + -1v = 15 + 3v + -3v Combine like terms: 3v + -3v = 0 14 + -1v = 15 + 0 14 + -1v = 15 Add '-14' to each side of the equation. 14 + -14 + -1v = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -1v = 15 + -14 -1v = 15 + -14 Combine like terms: 15 + -14 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1
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