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Simplifying -1v + -4v + 2 = -2v + -4v Reorder the terms: 2 + -1v + -4v = -2v + -4v Combine like terms: -1v + -4v = -5v 2 + -5v = -2v + -4v Combine like terms: -2v + -4v = -6v 2 + -5v = -6v Solving 2 + -5v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 2 + -5v + 6v = -6v + 6v Combine like terms: -5v + 6v = 1v 2 + 1v = -6v + 6v Combine like terms: -6v + 6v = 0 2 + 1v = 0 Add '-2' to each side of the equation. 2 + -2 + 1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = 0 + -2 1v = 0 + -2 Combine like terms: 0 + -2 = -2 1v = -2 Divide each side by '1'. v = -2 Simplifying v = -2
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