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Simplifying 3.5v + 8 = 7.5v + 4 Reorder the terms: 8 + 3.5v = 7.5v + 4 Reorder the terms: 8 + 3.5v = 4 + 7.5v Solving 8 + 3.5v = 4 + 7.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7.5v' to each side of the equation. 8 + 3.5v + -7.5v = 4 + 7.5v + -7.5v Combine like terms: 3.5v + -7.5v = -4v 8 + -4v = 4 + 7.5v + -7.5v Combine like terms: 7.5v + -7.5v = 0.0 8 + -4v = 4 + 0.0 8 + -4v = 4 Add '-8' to each side of the equation. 8 + -8 + -4v = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = 4 + -8 -4v = 4 + -8 Combine like terms: 4 + -8 = -4 -4v = -4 Divide each side by '-4'. v = 1 Simplifying v = 1
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