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Simplifying -1(5v + 1) + 1 = 12 + -2v Reorder the terms: -1(1 + 5v) + 1 = 12 + -2v (1 * -1 + 5v * -1) + 1 = 12 + -2v (-1 + -5v) + 1 = 12 + -2v Reorder the terms: -1 + 1 + -5v = 12 + -2v Combine like terms: -1 + 1 = 0 0 + -5v = 12 + -2v -5v = 12 + -2v Solving -5v = 12 + -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. -5v + 2v = 12 + -2v + 2v Combine like terms: -5v + 2v = -3v -3v = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 -3v = 12 + 0 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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