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Simplifying 22 = 2(v + 4) + 5v Reorder the terms: 22 = 2(4 + v) + 5v 22 = (4 * 2 + v * 2) + 5v 22 = (8 + 2v) + 5v Combine like terms: 2v + 5v = 7v 22 = 8 + 7v Solving 22 = 8 + 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. 22 + -7v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 22 + -7v = 8 + 0 22 + -7v = 8 Add '-22' to each side of the equation. 22 + -22 + -7v = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -7v = 8 + -22 -7v = 8 + -22 Combine like terms: 8 + -22 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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