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