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Simplifying 22 = -8v + 6(v + 2) Reorder the terms: 22 = -8v + 6(2 + v) 22 = -8v + (2 * 6 + v * 6) 22 = -8v + (12 + 6v) Reorder the terms: 22 = 12 + -8v + 6v Combine like terms: -8v + 6v = -2v 22 = 12 + -2v Solving 22 = 12 + -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 = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 22 + 2v = 12 + 0 22 + 2v = 12 Add '-22' to each side of the equation. 22 + -22 + 2v = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 2v = 12 + -22 2v = 12 + -22 Combine like terms: 12 + -22 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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