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Simplifying -35 = 8v + 3(v + -8) Reorder the terms: -35 = 8v + 3(-8 + v) -35 = 8v + (-8 * 3 + v * 3) -35 = 8v + (-24 + 3v) Reorder the terms: -35 = -24 + 8v + 3v Combine like terms: 8v + 3v = 11v -35 = -24 + 11v Solving -35 = -24 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -35 + -11v = -24 + 11v + -11v Combine like terms: 11v + -11v = 0 -35 + -11v = -24 + 0 -35 + -11v = -24 Add '35' to each side of the equation. -35 + 35 + -11v = -24 + 35 Combine like terms: -35 + 35 = 0 0 + -11v = -24 + 35 -11v = -24 + 35 Combine like terms: -24 + 35 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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