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Simplifying -4(1 + -5v) = 8v + -40 (1 * -4 + -5v * -4) = 8v + -40 (-4 + 20v) = 8v + -40 Reorder the terms: -4 + 20v = -40 + 8v Solving -4 + 20v = -40 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -4 + 20v + -8v = -40 + 8v + -8v Combine like terms: 20v + -8v = 12v -4 + 12v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 -4 + 12v = -40 + 0 -4 + 12v = -40 Add '4' to each side of the equation. -4 + 4 + 12v = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 12v = -40 + 4 12v = -40 + 4 Combine like terms: -40 + 4 = -36 12v = -36 Divide each side by '12'. v = -3 Simplifying v = -3
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