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Simplifying (v + -24) + 2v + 39 = 180 Reorder the terms: (-24 + v) + 2v + 39 = 180 Remove parenthesis around (-24 + v) -24 + v + 2v + 39 = 180 Reorder the terms: -24 + 39 + v + 2v = 180 Combine like terms: -24 + 39 = 15 15 + v + 2v = 180 Combine like terms: v + 2v = 3v 15 + 3v = 180 Solving 15 + 3v = 180 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3v = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = 180 + -15 3v = 180 + -15 Combine like terms: 180 + -15 = 165 3v = 165 Divide each side by '3'. v = 55 Simplifying v = 55
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