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Simplifying -1(v + -8) + -8(1 + 6v) = -8v + 2v Reorder the terms: -1(-8 + v) + -8(1 + 6v) = -8v + 2v (-8 * -1 + v * -1) + -8(1 + 6v) = -8v + 2v (8 + -1v) + -8(1 + 6v) = -8v + 2v 8 + -1v + (1 * -8 + 6v * -8) = -8v + 2v 8 + -1v + (-8 + -48v) = -8v + 2v Reorder the terms: 8 + -8 + -1v + -48v = -8v + 2v Combine like terms: 8 + -8 = 0 0 + -1v + -48v = -8v + 2v -1v + -48v = -8v + 2v Combine like terms: -1v + -48v = -49v -49v = -8v + 2v Combine like terms: -8v + 2v = -6v -49v = -6v Solving -49v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -49v + 6v = -6v + 6v Combine like terms: -49v + 6v = -43v -43v = -6v + 6v Combine like terms: -6v + 6v = 0 -43v = 0 Divide each side by '-43'. v = 0 Simplifying v = 0
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