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Simplifying -2v + 1 + 2v = -7 + v Reorder the terms: 1 + -2v + 2v = -7 + v Combine like terms: -2v + 2v = 0 1 + 0 = -7 + v 1 = -7 + v Solving 1 = -7 + v 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. 1 + -1v = -7 + v + -1v Combine like terms: v + -1v = 0 1 + -1v = -7 + 0 1 + -1v = -7 Add '-1' to each side of the equation. 1 + -1 + -1v = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = -7 + -1 -1v = -7 + -1 Combine like terms: -7 + -1 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8
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