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