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