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