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Simplifying 5v + -12 + 2v = 3v + 24 + -8v Reorder the terms: -12 + 5v + 2v = 3v + 24 + -8v Combine like terms: 5v + 2v = 7v -12 + 7v = 3v + 24 + -8v Reorder the terms: -12 + 7v = 24 + 3v + -8v Combine like terms: 3v + -8v = -5v -12 + 7v = 24 + -5v Solving -12 + 7v = 24 + -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. -12 + 7v + 5v = 24 + -5v + 5v Combine like terms: 7v + 5v = 12v -12 + 12v = 24 + -5v + 5v Combine like terms: -5v + 5v = 0 -12 + 12v = 24 + 0 -12 + 12v = 24 Add '12' to each side of the equation. -12 + 12 + 12v = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12v = 24 + 12 12v = 24 + 12 Combine like terms: 24 + 12 = 36 12v = 36 Divide each side by '12'. v = 3 Simplifying v = 3
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