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Simplifying -7(-2v + -2) = 6v + 38 Reorder the terms: -7(-2 + -2v) = 6v + 38 (-2 * -7 + -2v * -7) = 6v + 38 (14 + 14v) = 6v + 38 Reorder the terms: 14 + 14v = 38 + 6v Solving 14 + 14v = 38 + 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. 14 + 14v + -6v = 38 + 6v + -6v Combine like terms: 14v + -6v = 8v 14 + 8v = 38 + 6v + -6v Combine like terms: 6v + -6v = 0 14 + 8v = 38 + 0 14 + 8v = 38 Add '-14' to each side of the equation. 14 + -14 + 8v = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 8v = 38 + -14 8v = 38 + -14 Combine like terms: 38 + -14 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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