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Simplifying 8v + -12 + 5v = 5v + 10 + -3v Reorder the terms: -12 + 8v + 5v = 5v + 10 + -3v Combine like terms: 8v + 5v = 13v -12 + 13v = 5v + 10 + -3v Reorder the terms: -12 + 13v = 10 + 5v + -3v Combine like terms: 5v + -3v = 2v -12 + 13v = 10 + 2v Solving -12 + 13v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -12 + 13v + -2v = 10 + 2v + -2v Combine like terms: 13v + -2v = 11v -12 + 11v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + 11v = 10 + 0 -12 + 11v = 10 Add '12' to each side of the equation. -12 + 12 + 11v = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11v = 10 + 12 11v = 10 + 12 Combine like terms: 10 + 12 = 22 11v = 22 Divide each side by '11'. v = 2 Simplifying v = 2
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