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Simplifying 14 = 2(v + 2) + -7v Reorder the terms: 14 = 2(2 + v) + -7v 14 = (2 * 2 + v * 2) + -7v 14 = (4 + 2v) + -7v Combine like terms: 2v + -7v = -5v 14 = 4 + -5v Solving 14 = 4 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 14 + 5v = 4 + -5v + 5v Combine like terms: -5v + 5v = 0 14 + 5v = 4 + 0 14 + 5v = 4 Add '-14' to each side of the equation. 14 + -14 + 5v = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 5v = 4 + -14 5v = 4 + -14 Combine like terms: 4 + -14 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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