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Simplifying -2v + 9 = -7 + 2v Reorder the terms: 9 + -2v = -7 + 2v Solving 9 + -2v = -7 + 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. 9 + -2v + -2v = -7 + 2v + -2v Combine like terms: -2v + -2v = -4v 9 + -4v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + -4v = -7 + 0 9 + -4v = -7 Add '-9' to each side of the equation. 9 + -9 + -4v = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = -7 + -9 -4v = -7 + -9 Combine like terms: -7 + -9 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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