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Simplifying -20 = 2(v + 5) + -8v Reorder the terms: -20 = 2(5 + v) + -8v -20 = (5 * 2 + v * 2) + -8v -20 = (10 + 2v) + -8v Combine like terms: 2v + -8v = -6v -20 = 10 + -6v Solving -20 = 10 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -20 + 6v = 10 + -6v + 6v Combine like terms: -6v + 6v = 0 -20 + 6v = 10 + 0 -20 + 6v = 10 Add '20' to each side of the equation. -20 + 20 + 6v = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6v = 10 + 20 6v = 10 + 20 Combine like terms: 10 + 20 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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