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Simplifying 22 = -2v + 6(v + 5) Reorder the terms: 22 = -2v + 6(5 + v) 22 = -2v + (5 * 6 + v * 6) 22 = -2v + (30 + 6v) Reorder the terms: 22 = 30 + -2v + 6v Combine like terms: -2v + 6v = 4v 22 = 30 + 4v Solving 22 = 30 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 22 + -4v = 30 + 4v + -4v Combine like terms: 4v + -4v = 0 22 + -4v = 30 + 0 22 + -4v = 30 Add '-22' to each side of the equation. 22 + -22 + -4v = 30 + -22 Combine like terms: 22 + -22 = 0 0 + -4v = 30 + -22 -4v = 30 + -22 Combine like terms: 30 + -22 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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