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Simplifying 3v + -35 = 2(5 + -4v) Reorder the terms: -35 + 3v = 2(5 + -4v) -35 + 3v = (5 * 2 + -4v * 2) -35 + 3v = (10 + -8v) Solving -35 + 3v = 10 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -35 + 3v + 8v = 10 + -8v + 8v Combine like terms: 3v + 8v = 11v -35 + 11v = 10 + -8v + 8v Combine like terms: -8v + 8v = 0 -35 + 11v = 10 + 0 -35 + 11v = 10 Add '35' to each side of the equation. -35 + 35 + 11v = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 11v = 10 + 35 11v = 10 + 35 Combine like terms: 10 + 35 = 45 11v = 45 Divide each side by '11'. v = 4.090909091 Simplifying v = 4.090909091
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