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Simplifying -1(-8v + -2) = 7v Reorder the terms: -1(-2 + -8v) = 7v (-2 * -1 + -8v * -1) = 7v (2 + 8v) = 7v Solving 2 + 8v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 2 + 8v + -7v = 7v + -7v Combine like terms: 8v + -7v = 1v 2 + 1v = 7v + -7v Combine like terms: 7v + -7v = 0 2 + 1v = 0 Add '-2' to each side of the equation. 2 + -2 + 1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = 0 + -2 1v = 0 + -2 Combine like terms: 0 + -2 = -2 1v = -2 Divide each side by '1'. v = -2 Simplifying v = -2
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