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Simplifying 2(v + 3) = 6v + -22 Reorder the terms: 2(3 + v) = 6v + -22 (3 * 2 + v * 2) = 6v + -22 (6 + 2v) = 6v + -22 Reorder the terms: 6 + 2v = -22 + 6v Solving 6 + 2v = -22 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 6 + 2v + -6v = -22 + 6v + -6v Combine like terms: 2v + -6v = -4v 6 + -4v = -22 + 6v + -6v Combine like terms: 6v + -6v = 0 6 + -4v = -22 + 0 6 + -4v = -22 Add '-6' to each side of the equation. 6 + -6 + -4v = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -4v = -22 + -6 -4v = -22 + -6 Combine like terms: -22 + -6 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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