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Simplifying 1 + 4v = v + 5 + 2v + -7 Reorder the terms: 1 + 4v = 5 + -7 + v + 2v Combine like terms: 5 + -7 = -2 1 + 4v = -2 + v + 2v Combine like terms: v + 2v = 3v 1 + 4v = -2 + 3v Solving 1 + 4v = -2 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 1 + 4v + -3v = -2 + 3v + -3v Combine like terms: 4v + -3v = 1v 1 + 1v = -2 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + 1v = -2 + 0 1 + 1v = -2 Add '-1' to each side of the equation. 1 + -1 + 1v = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 1v = -2 + -1 1v = -2 + -1 Combine like terms: -2 + -1 = -3 1v = -3 Divide each side by '1'. v = -3 Simplifying v = -3
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