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Simplifying 3v + 8 = 14v + -69 Reorder the terms: 8 + 3v = 14v + -69 Reorder the terms: 8 + 3v = -69 + 14v Solving 8 + 3v = -69 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 8 + 3v + -14v = -69 + 14v + -14v Combine like terms: 3v + -14v = -11v 8 + -11v = -69 + 14v + -14v Combine like terms: 14v + -14v = 0 8 + -11v = -69 + 0 8 + -11v = -69 Add '-8' to each side of the equation. 8 + -8 + -11v = -69 + -8 Combine like terms: 8 + -8 = 0 0 + -11v = -69 + -8 -11v = -69 + -8 Combine like terms: -69 + -8 = -77 -11v = -77 Divide each side by '-11'. v = 7 Simplifying v = 7
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