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Simplifying 22 = 6v + 2(v + 3) Reorder the terms: 22 = 6v + 2(3 + v) 22 = 6v + (3 * 2 + v * 2) 22 = 6v + (6 + 2v) Reorder the terms: 22 = 6 + 6v + 2v Combine like terms: 6v + 2v = 8v 22 = 6 + 8v Solving 22 = 6 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 22 + -8v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 22 + -8v = 6 + 0 22 + -8v = 6 Add '-22' to each side of the equation. 22 + -22 + -8v = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -8v = 6 + -22 -8v = 6 + -22 Combine like terms: 6 + -22 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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