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Simplifying -4(2v + 5) = 4 + -2v Reorder the terms: -4(5 + 2v) = 4 + -2v (5 * -4 + 2v * -4) = 4 + -2v (-20 + -8v) = 4 + -2v Solving -20 + -8v = 4 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -20 + -8v + 2v = 4 + -2v + 2v Combine like terms: -8v + 2v = -6v -20 + -6v = 4 + -2v + 2v Combine like terms: -2v + 2v = 0 -20 + -6v = 4 + 0 -20 + -6v = 4 Add '20' to each side of the equation. -20 + 20 + -6v = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -6v = 4 + 20 -6v = 4 + 20 Combine like terms: 4 + 20 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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