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Simplifying 3.5 + 8 = 12.5 + -1v Combine like terms: 3.5 + 8 = 11.5 11.5 = 12.5 + -1v Solving 11.5 = 12.5 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 11.5 + v = 12.5 + -1v + v Combine like terms: -1v + v = 0 11.5 + v = 12.5 + 0 11.5 + v = 12.5 Add '-11.5' to each side of the equation. 11.5 + -11.5 + v = 12.5 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + v = 12.5 + -11.5 v = 12.5 + -11.5 Combine like terms: 12.5 + -11.5 = 1 v = 1 Simplifying v = 1
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