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Simplifying -7 + v + -2 + -2 = v + 1 + 2v Reorder the terms: -7 + -2 + -2 + v = v + 1 + 2v Combine like terms: -7 + -2 = -9 -9 + -2 + v = v + 1 + 2v Combine like terms: -9 + -2 = -11 -11 + v = v + 1 + 2v Reorder the terms: -11 + v = 1 + v + 2v Combine like terms: v + 2v = 3v -11 + v = 1 + 3v Solving -11 + v = 1 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -11 + v + -3v = 1 + 3v + -3v Combine like terms: v + -3v = -2v -11 + -2v = 1 + 3v + -3v Combine like terms: 3v + -3v = 0 -11 + -2v = 1 + 0 -11 + -2v = 1 Add '11' to each side of the equation. -11 + 11 + -2v = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -2v = 1 + 11 -2v = 1 + 11 Combine like terms: 1 + 11 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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