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Simplifying 3 + -4v + 5v = 5v + -5 Combine like terms: -4v + 5v = 1v 3 + 1v = 5v + -5 Reorder the terms: 3 + 1v = -5 + 5v Solving 3 + 1v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 3 + 1v + -5v = -5 + 5v + -5v Combine like terms: 1v + -5v = -4v 3 + -4v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + -4v = -5 + 0 3 + -4v = -5 Add '-3' to each side of the equation. 3 + -3 + -4v = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = -5 + -3 -4v = -5 + -3 Combine like terms: -5 + -3 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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