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Simplifying -5(1 + -8v) = -5(1 + 3v) (1 * -5 + -8v * -5) = -5(1 + 3v) (-5 + 40v) = -5(1 + 3v) -5 + 40v = (1 * -5 + 3v * -5) -5 + 40v = (-5 + -15v) Add '5' to each side of the equation. -5 + 5 + 40v = -5 + 5 + -15v Combine like terms: -5 + 5 = 0 0 + 40v = -5 + 5 + -15v 40v = -5 + 5 + -15v Combine like terms: -5 + 5 = 0 40v = 0 + -15v 40v = -15v Solving 40v = -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 40v + 15v = -15v + 15v Combine like terms: 40v + 15v = 55v 55v = -15v + 15v Combine like terms: -15v + 15v = 0 55v = 0 Divide each side by '55'. v = 0 Simplifying v = 0
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