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Simplifying 3.5v + 8 = 12.5 + -1v Reorder the terms: 8 + 3.5v = 12.5 + -1v Solving 8 + 3.5v = 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. 8 + 3.5v + v = 12.5 + -1v + v Combine like terms: 3.5v + v = 4.5v 8 + 4.5v = 12.5 + -1v + v Combine like terms: -1v + v = 0 8 + 4.5v = 12.5 + 0 8 + 4.5v = 12.5 Add '-8' to each side of the equation. 8 + -8 + 4.5v = 12.5 + -8 Combine like terms: 8 + -8 = 0 0 + 4.5v = 12.5 + -8 4.5v = 12.5 + -8 Combine like terms: 12.5 + -8 = 4.5 4.5v = 4.5 Divide each side by '4.5'. v = 1 Simplifying v = 1
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