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Simplifying 6v + 3 + -2v = 1 + 5v Reorder the terms: 3 + 6v + -2v = 1 + 5v Combine like terms: 6v + -2v = 4v 3 + 4v = 1 + 5v Solving 3 + 4v = 1 + 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 + 4v + -5v = 1 + 5v + -5v Combine like terms: 4v + -5v = -1v 3 + -1v = 1 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + -1v = 1 + 0 3 + -1v = 1 Add '-3' to each side of the equation. 3 + -3 + -1v = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 1 + -3 -1v = 1 + -3 Combine like terms: 1 + -3 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2
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