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Simplifying -8(1 + -5v) + -1v = 5v + -8 (1 * -8 + -5v * -8) + -1v = 5v + -8 (-8 + 40v) + -1v = 5v + -8 Combine like terms: 40v + -1v = 39v -8 + 39v = 5v + -8 Reorder the terms: -8 + 39v = -8 + 5v Add '8' to each side of the equation. -8 + 8 + 39v = -8 + 8 + 5v Combine like terms: -8 + 8 = 0 0 + 39v = -8 + 8 + 5v 39v = -8 + 8 + 5v Combine like terms: -8 + 8 = 0 39v = 0 + 5v 39v = 5v Solving 39v = 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. 39v + -5v = 5v + -5v Combine like terms: 39v + -5v = 34v 34v = 5v + -5v Combine like terms: 5v + -5v = 0 34v = 0 Divide each side by '34'. v = 0 Simplifying v = 0
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