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Simplifying -8 = 2(v + 5) + -8v Reorder the terms: -8 = 2(5 + v) + -8v -8 = (5 * 2 + v * 2) + -8v -8 = (10 + 2v) + -8v Combine like terms: 2v + -8v = -6v -8 = 10 + -6v Solving -8 = 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. -8 + 6v = 10 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + 6v = 10 + 0 -8 + 6v = 10 Add '8' to each side of the equation. -8 + 8 + 6v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6v = 10 + 8 6v = 10 + 8 Combine like terms: 10 + 8 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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