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Simplifying -7 + v + -7 + -2v = 1 + 2v Reorder the terms: -7 + -7 + v + -2v = 1 + 2v Combine like terms: -7 + -7 = -14 -14 + v + -2v = 1 + 2v Combine like terms: v + -2v = -1v -14 + -1v = 1 + 2v Solving -14 + -1v = 1 + 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. -14 + -1v + -2v = 1 + 2v + -2v Combine like terms: -1v + -2v = -3v -14 + -3v = 1 + 2v + -2v Combine like terms: 2v + -2v = 0 -14 + -3v = 1 + 0 -14 + -3v = 1 Add '14' to each side of the equation. -14 + 14 + -3v = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3v = 1 + 14 -3v = 1 + 14 Combine like terms: 1 + 14 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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