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Simplifying -4v + -5 + v + 9 = -2v + -5v Reorder the terms: -5 + 9 + -4v + v = -2v + -5v Combine like terms: -5 + 9 = 4 4 + -4v + v = -2v + -5v Combine like terms: -4v + v = -3v 4 + -3v = -2v + -5v Combine like terms: -2v + -5v = -7v 4 + -3v = -7v Solving 4 + -3v = -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. 4 + -3v + 7v = -7v + 7v Combine like terms: -3v + 7v = 4v 4 + 4v = -7v + 7v Combine like terms: -7v + 7v = 0 4 + 4v = 0 Add '-4' to each side of the equation. 4 + -4 + 4v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = 0 + -4 4v = 0 + -4 Combine like terms: 0 + -4 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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