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Simplifying -2(-1v + -8) = 9 + -5v Reorder the terms: -2(-8 + -1v) = 9 + -5v (-8 * -2 + -1v * -2) = 9 + -5v (16 + 2v) = 9 + -5v Solving 16 + 2v = 9 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 16 + 2v + 5v = 9 + -5v + 5v Combine like terms: 2v + 5v = 7v 16 + 7v = 9 + -5v + 5v Combine like terms: -5v + 5v = 0 16 + 7v = 9 + 0 16 + 7v = 9 Add '-16' to each side of the equation. 16 + -16 + 7v = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 7v = 9 + -16 7v = 9 + -16 Combine like terms: 9 + -16 = -7 7v = -7 Divide each side by '7'. v = -1 Simplifying v = -1
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