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Simplifying -9v + 36 + 2v + 5 = 8v + 12 Reorder the terms: 36 + 5 + -9v + 2v = 8v + 12 Combine like terms: 36 + 5 = 41 41 + -9v + 2v = 8v + 12 Combine like terms: -9v + 2v = -7v 41 + -7v = 8v + 12 Reorder the terms: 41 + -7v = 12 + 8v Solving 41 + -7v = 12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 41 + -7v + -8v = 12 + 8v + -8v Combine like terms: -7v + -8v = -15v 41 + -15v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 41 + -15v = 12 + 0 41 + -15v = 12 Add '-41' to each side of the equation. 41 + -41 + -15v = 12 + -41 Combine like terms: 41 + -41 = 0 0 + -15v = 12 + -41 -15v = 12 + -41 Combine like terms: 12 + -41 = -29 -15v = -29 Divide each side by '-15'. v = 1.933333333 Simplifying v = 1.933333333
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