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Simplifying -1(v + 2) = 6 + -2v Reorder the terms: -1(2 + v) = 6 + -2v (2 * -1 + v * -1) = 6 + -2v (-2 + -1v) = 6 + -2v Solving -2 + -1v = 6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -2 + -1v + 2v = 6 + -2v + 2v Combine like terms: -1v + 2v = 1v -2 + 1v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + 1v = 6 + 0 -2 + 1v = 6 Add '2' to each side of the equation. -2 + 2 + 1v = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1v = 6 + 2 1v = 6 + 2 Combine like terms: 6 + 2 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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