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Simplifying -5(4v + -20 + -5v) = -10v Reorder the terms: -5(-20 + 4v + -5v) = -10v Combine like terms: 4v + -5v = -1v -5(-20 + -1v) = -10v (-20 * -5 + -1v * -5) = -10v (100 + 5v) = -10v Solving 100 + 5v = -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 100 + 5v + 10v = -10v + 10v Combine like terms: 5v + 10v = 15v 100 + 15v = -10v + 10v Combine like terms: -10v + 10v = 0 100 + 15v = 0 Add '-100' to each side of the equation. 100 + -100 + 15v = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 15v = 0 + -100 15v = 0 + -100 Combine like terms: 0 + -100 = -100 15v = -100 Divide each side by '15'. v = -6.666666667 Simplifying v = -6.666666667
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