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Simplifying 6v + 8 = 18v + -3v + 81 Reorder the terms: 8 + 6v = 18v + -3v + 81 Reorder the terms: 8 + 6v = 81 + 18v + -3v Combine like terms: 18v + -3v = 15v 8 + 6v = 81 + 15v Solving 8 + 6v = 81 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 8 + 6v + -15v = 81 + 15v + -15v Combine like terms: 6v + -15v = -9v 8 + -9v = 81 + 15v + -15v Combine like terms: 15v + -15v = 0 8 + -9v = 81 + 0 8 + -9v = 81 Add '-8' to each side of the equation. 8 + -8 + -9v = 81 + -8 Combine like terms: 8 + -8 = 0 0 + -9v = 81 + -8 -9v = 81 + -8 Combine like terms: 81 + -8 = 73 -9v = 73 Divide each side by '-9'. v = -8.111111111 Simplifying v = -8.111111111
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