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Simplifying -1(v + 1) = -9 + -3v Reorder the terms: -1(1 + v) = -9 + -3v (1 * -1 + v * -1) = -9 + -3v (-1 + -1v) = -9 + -3v Solving -1 + -1v = -9 + -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. -1 + -1v + 3v = -9 + -3v + 3v Combine like terms: -1v + 3v = 2v -1 + 2v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 -1 + 2v = -9 + 0 -1 + 2v = -9 Add '1' to each side of the equation. -1 + 1 + 2v = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = -9 + 1 2v = -9 + 1 Combine like terms: -9 + 1 = -8 2v = -8 Divide each side by '2'. v = -4 Simplifying v = -4
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