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Simplifying 10v + 20 + 17 = 14v + -19 Reorder the terms: 20 + 17 + 10v = 14v + -19 Combine like terms: 20 + 17 = 37 37 + 10v = 14v + -19 Reorder the terms: 37 + 10v = -19 + 14v Solving 37 + 10v = -19 + 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. 37 + 10v + -14v = -19 + 14v + -14v Combine like terms: 10v + -14v = -4v 37 + -4v = -19 + 14v + -14v Combine like terms: 14v + -14v = 0 37 + -4v = -19 + 0 37 + -4v = -19 Add '-37' to each side of the equation. 37 + -37 + -4v = -19 + -37 Combine like terms: 37 + -37 = 0 0 + -4v = -19 + -37 -4v = -19 + -37 Combine like terms: -19 + -37 = -56 -4v = -56 Divide each side by '-4'. v = 14 Simplifying v = 14
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