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Simplifying 1 + 2(-1 + -2v) = -2v + 15 1 + (-1 * 2 + -2v * 2) = -2v + 15 1 + (-2 + -4v) = -2v + 15 Combine like terms: 1 + -2 = -1 -1 + -4v = -2v + 15 Reorder the terms: -1 + -4v = 15 + -2v Solving -1 + -4v = 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. -1 + -4v + 2v = 15 + -2v + 2v Combine like terms: -4v + 2v = -2v -1 + -2v = 15 + -2v + 2v Combine like terms: -2v + 2v = 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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