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Simplifying -1(1 + -8v) + -2v = -13 + 2v (1 * -1 + -8v * -1) + -2v = -13 + 2v (-1 + 8v) + -2v = -13 + 2v Combine like terms: 8v + -2v = 6v -1 + 6v = -13 + 2v Solving -1 + 6v = -13 + 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 + 6v + -2v = -13 + 2v + -2v Combine like terms: 6v + -2v = 4v -1 + 4v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 -1 + 4v = -13 + 0 -1 + 4v = -13 Add '1' to each side of the equation. -1 + 1 + 4v = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 4v = -13 + 1 4v = -13 + 1 Combine like terms: -13 + 1 = -12 4v = -12 Divide each side by '4'. v = -3 Simplifying v = -3
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