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Simplifying 2v + 14 = -7(v + -2) Reorder the terms: 14 + 2v = -7(v + -2) Reorder the terms: 14 + 2v = -7(-2 + v) 14 + 2v = (-2 * -7 + v * -7) 14 + 2v = (14 + -7v) Add '-14' to each side of the equation. 14 + -14 + 2v = 14 + -14 + -7v Combine like terms: 14 + -14 = 0 0 + 2v = 14 + -14 + -7v 2v = 14 + -14 + -7v Combine like terms: 14 + -14 = 0 2v = 0 + -7v 2v = -7v Solving 2v = -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 2v + 7v = -7v + 7v Combine like terms: 2v + 7v = 9v 9v = -7v + 7v Combine like terms: -7v + 7v = 0 9v = 0 Divide each side by '9'. v = 0 Simplifying v = 0
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