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Simplifying -19 + 8v = 14 + 5v + 18 Reorder the terms: -19 + 8v = 14 + 18 + 5v Combine like terms: 14 + 18 = 32 -19 + 8v = 32 + 5v Solving -19 + 8v = 32 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -19 + 8v + -5v = 32 + 5v + -5v Combine like terms: 8v + -5v = 3v -19 + 3v = 32 + 5v + -5v Combine like terms: 5v + -5v = 0 -19 + 3v = 32 + 0 -19 + 3v = 32 Add '19' to each side of the equation. -19 + 19 + 3v = 32 + 19 Combine like terms: -19 + 19 = 0 0 + 3v = 32 + 19 3v = 32 + 19 Combine like terms: 32 + 19 = 51 3v = 51 Divide each side by '3'. v = 17 Simplifying v = 17
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