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Simplifying 2 = 4v + -1 + -7v Reorder the terms: 2 = -1 + 4v + -7v Combine like terms: 4v + -7v = -3v 2 = -1 + -3v Solving 2 = -1 + -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. 2 + 3v = -1 + -3v + 3v Combine like terms: -3v + 3v = 0 2 + 3v = -1 + 0 2 + 3v = -1 Add '-2' to each side of the equation. 2 + -2 + 3v = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 3v = -1 + -2 3v = -1 + -2 Combine like terms: -1 + -2 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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