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Simplifying -2 + -1(1 + -1v) = 15 + -2v -2 + (1 * -1 + -1v * -1) = 15 + -2v -2 + (-1 + 1v) = 15 + -2v Combine like terms: -2 + -1 = -3 -3 + 1v = 15 + -2v Solving -3 + 1v = 15 + -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. -3 + 1v + 2v = 15 + -2v + 2v Combine like terms: 1v + 2v = 3v -3 + 3v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 -3 + 3v = 15 + 0 -3 + 3v = 15 Add '3' to each side of the equation. -3 + 3 + 3v = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 3v = 15 + 3 3v = 15 + 3 Combine like terms: 15 + 3 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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