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Simplifying -5v + 7(v + 2) = 22 Reorder the terms: -5v + 7(2 + v) = 22 -5v + (2 * 7 + v * 7) = 22 -5v + (14 + 7v) = 22 Reorder the terms: 14 + -5v + 7v = 22 Combine like terms: -5v + 7v = 2v 14 + 2v = 22 Solving 14 + 2v = 22 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2v = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 22 + -14 2v = 22 + -14 Combine like terms: 22 + -14 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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