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Simplifying 14 = -7v + 5(v + 2) Reorder the terms: 14 = -7v + 5(2 + v) 14 = -7v + (2 * 5 + v * 5) 14 = -7v + (10 + 5v) Reorder the terms: 14 = 10 + -7v + 5v Combine like terms: -7v + 5v = -2v 14 = 10 + -2v Solving 14 = 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 = 10 + -2v + 2v Combine like terms: -2v + 2v = 0 14 + 2v = 10 + 0 14 + 2v = 10 Add '-14' to each side of the equation. 14 + -14 + 2v = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 10 + -14 2v = 10 + -14 Combine like terms: 10 + -14 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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