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Simplifying -5 + 5v = 3v + 5 + 4v Reorder the terms: -5 + 5v = 5 + 3v + 4v Combine like terms: 3v + 4v = 7v -5 + 5v = 5 + 7v Solving -5 + 5v = 5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -5 + 5v + -7v = 5 + 7v + -7v Combine like terms: 5v + -7v = -2v -5 + -2v = 5 + 7v + -7v Combine like terms: 7v + -7v = 0 -5 + -2v = 5 + 0 -5 + -2v = 5 Add '5' to each side of the equation. -5 + 5 + -2v = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2v = 5 + 5 -2v = 5 + 5 Combine like terms: 5 + 5 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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