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Simplifying 22 = 4(v + 5) + -6v Reorder the terms: 22 = 4(5 + v) + -6v 22 = (5 * 4 + v * 4) + -6v 22 = (20 + 4v) + -6v Combine like terms: 4v + -6v = -2v 22 = 20 + -2v Solving 22 = 20 + -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. 22 + 2v = 20 + -2v + 2v Combine like terms: -2v + 2v = 0 22 + 2v = 20 + 0 22 + 2v = 20 Add '-22' to each side of the equation. 22 + -22 + 2v = 20 + -22 Combine like terms: 22 + -22 = 0 0 + 2v = 20 + -22 2v = 20 + -22 Combine like terms: 20 + -22 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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