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Simplifying -1(-1v + -6) = 38 + -3v Reorder the terms: -1(-6 + -1v) = 38 + -3v (-6 * -1 + -1v * -1) = 38 + -3v (6 + 1v) = 38 + -3v Solving 6 + 1v = 38 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 6 + 1v + 3v = 38 + -3v + 3v Combine like terms: 1v + 3v = 4v 6 + 4v = 38 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + 4v = 38 + 0 6 + 4v = 38 Add '-6' to each side of the equation. 6 + -6 + 4v = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 4v = 38 + -6 4v = 38 + -6 Combine like terms: 38 + -6 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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