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