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Simplifying -1(1 + 2v) = 15 + -4v (1 * -1 + 2v * -1) = 15 + -4v (-1 + -2v) = 15 + -4v Solving -1 + -2v = 15 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -1 + -2v + 4v = 15 + -4v + 4v Combine like terms: -2v + 4v = 2v -1 + 2v = 15 + -4v + 4v Combine like terms: -4v + 4v = 0 -1 + 2v = 15 + 0 -1 + 2v = 15 Add '1' to each side of the equation. -1 + 1 + 2v = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = 15 + 1 2v = 15 + 1 Combine like terms: 15 + 1 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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