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Simplifying -14v + -20 = -17v + 12 + 19 Reorder the terms: -20 + -14v = -17v + 12 + 19 Reorder the terms: -20 + -14v = 12 + 19 + -17v Combine like terms: 12 + 19 = 31 -20 + -14v = 31 + -17v Solving -20 + -14v = 31 + -17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17v' to each side of the equation. -20 + -14v + 17v = 31 + -17v + 17v Combine like terms: -14v + 17v = 3v -20 + 3v = 31 + -17v + 17v Combine like terms: -17v + 17v = 0 -20 + 3v = 31 + 0 -20 + 3v = 31 Add '20' to each side of the equation. -20 + 20 + 3v = 31 + 20 Combine like terms: -20 + 20 = 0 0 + 3v = 31 + 20 3v = 31 + 20 Combine like terms: 31 + 20 = 51 3v = 51 Divide each side by '3'. v = 17 Simplifying v = 17
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