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Simplifying -3(v + 8) = -5v + -20 Reorder the terms: -3(8 + v) = -5v + -20 (8 * -3 + v * -3) = -5v + -20 (-24 + -3v) = -5v + -20 Reorder the terms: -24 + -3v = -20 + -5v Solving -24 + -3v = -20 + -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. -24 + -3v + 5v = -20 + -5v + 5v Combine like terms: -3v + 5v = 2v -24 + 2v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 -24 + 2v = -20 + 0 -24 + 2v = -20 Add '24' to each side of the equation. -24 + 24 + 2v = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -20 + 24 2v = -20 + 24 Combine like terms: -20 + 24 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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