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Simplifying 22 = 6(v + 5) + -8v Reorder the terms: 22 = 6(5 + v) + -8v 22 = (5 * 6 + v * 6) + -8v 22 = (30 + 6v) + -8v Combine like terms: 6v + -8v = -2v 22 = 30 + -2v Solving 22 = 30 + -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 = 30 + -2v + 2v Combine like terms: -2v + 2v = 0 22 + 2v = 30 + 0 22 + 2v = 30 Add '-22' to each side of the equation. 22 + -22 + 2v = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 2v = 30 + -22 2v = 30 + -22 Combine like terms: 30 + -22 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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