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Simplifying -7 + -2v = 3v + -2v + 2 Reorder the terms: -7 + -2v = 2 + 3v + -2v Combine like terms: 3v + -2v = 1v -7 + -2v = 2 + 1v Solving -7 + -2v = 2 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -7 + -2v + -1v = 2 + 1v + -1v Combine like terms: -2v + -1v = -3v -7 + -3v = 2 + 1v + -1v Combine like terms: 1v + -1v = 0 -7 + -3v = 2 + 0 -7 + -3v = 2 Add '7' to each side of the equation. -7 + 7 + -3v = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = 2 + 7 -3v = 2 + 7 Combine like terms: 2 + 7 = 9 -3v = 9 Divide each side by '-3'. v = -3 Simplifying v = -3
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