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Simplifying 22 = 6(v + 7) + -8v Reorder the terms: 22 = 6(7 + v) + -8v 22 = (7 * 6 + v * 6) + -8v 22 = (42 + 6v) + -8v Combine like terms: 6v + -8v = -2v 22 = 42 + -2v Solving 22 = 42 + -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 = 42 + -2v + 2v Combine like terms: -2v + 2v = 0 22 + 2v = 42 + 0 22 + 2v = 42 Add '-22' to each side of the equation. 22 + -22 + 2v = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 2v = 42 + -22 2v = 42 + -22 Combine like terms: 42 + -22 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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