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Simplifying 8v + 14 = 5v + 6v + -10 Reorder the terms: 14 + 8v = 5v + 6v + -10 Reorder the terms: 14 + 8v = -10 + 5v + 6v Combine like terms: 5v + 6v = 11v 14 + 8v = -10 + 11v Solving 14 + 8v = -10 + 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. 14 + 8v + -11v = -10 + 11v + -11v Combine like terms: 8v + -11v = -3v 14 + -3v = -10 + 11v + -11v Combine like terms: 11v + -11v = 0 14 + -3v = -10 + 0 14 + -3v = -10 Add '-14' to each side of the equation. 14 + -14 + -3v = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3v = -10 + -14 -3v = -10 + -14 Combine like terms: -10 + -14 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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