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Simplifying -8(1 + -2v) + 4v = -8(1 + 6v) + v (1 * -8 + -2v * -8) + 4v = -8(1 + 6v) + v (-8 + 16v) + 4v = -8(1 + 6v) + v Combine like terms: 16v + 4v = 20v -8 + 20v = -8(1 + 6v) + v -8 + 20v = (1 * -8 + 6v * -8) + v -8 + 20v = (-8 + -48v) + v Combine like terms: -48v + v = -47v -8 + 20v = -8 + -47v Add '8' to each side of the equation. -8 + 8 + 20v = -8 + 8 + -47v Combine like terms: -8 + 8 = 0 0 + 20v = -8 + 8 + -47v 20v = -8 + 8 + -47v Combine like terms: -8 + 8 = 0 20v = 0 + -47v 20v = -47v Solving 20v = -47v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '47v' to each side of the equation. 20v + 47v = -47v + 47v Combine like terms: 20v + 47v = 67v 67v = -47v + 47v Combine like terms: -47v + 47v = 0 67v = 0 Divide each side by '67'. v = 0 Simplifying v = 0
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