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Simplifying 2v + 14 = -2(v + 5) Reorder the terms: 14 + 2v = -2(v + 5) Reorder the terms: 14 + 2v = -2(5 + v) 14 + 2v = (5 * -2 + v * -2) 14 + 2v = (-10 + -2v) Solving 14 + 2v = -10 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 14 + 2v + 2v = -10 + -2v + 2v Combine like terms: 2v + 2v = 4v 14 + 4v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 14 + 4v = -10 + 0 14 + 4v = -10 Add '-14' to each side of the equation. 14 + -14 + 4v = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 4v = -10 + -14 4v = -10 + -14 Combine like terms: -10 + -14 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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