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Simplifying 6v + 22 = 4(v + 9) Reorder the terms: 22 + 6v = 4(v + 9) Reorder the terms: 22 + 6v = 4(9 + v) 22 + 6v = (9 * 4 + v * 4) 22 + 6v = (36 + 4v) Solving 22 + 6v = 36 + 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 + 6v + -4v = 36 + 4v + -4v Combine like terms: 6v + -4v = 2v 22 + 2v = 36 + 4v + -4v Combine like terms: 4v + -4v = 0 22 + 2v = 36 + 0 22 + 2v = 36 Add '-22' to each side of the equation. 22 + -22 + 2v = 36 + -22 Combine like terms: 22 + -22 = 0 0 + 2v = 36 + -22 2v = 36 + -22 Combine like terms: 36 + -22 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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