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Simplifying 16v + -5v + 18 = 3v + -14 Reorder the terms: 18 + 16v + -5v = 3v + -14 Combine like terms: 16v + -5v = 11v 18 + 11v = 3v + -14 Reorder the terms: 18 + 11v = -14 + 3v Solving 18 + 11v = -14 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 18 + 11v + -3v = -14 + 3v + -3v Combine like terms: 11v + -3v = 8v 18 + 8v = -14 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + 8v = -14 + 0 18 + 8v = -14 Add '-18' to each side of the equation. 18 + -18 + 8v = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 8v = -14 + -18 8v = -14 + -18 Combine like terms: -14 + -18 = -32 8v = -32 Divide each side by '8'. v = -4 Simplifying v = -4
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