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