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Simplifying 2v + 6 = 3v + 7 Reorder the terms: 6 + 2v = 3v + 7 Reorder the terms: 6 + 2v = 7 + 3v Solving 6 + 2v = 7 + 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. 6 + 2v + -3v = 7 + 3v + -3v Combine like terms: 2v + -3v = -1v 6 + -1v = 7 + 3v + -3v Combine like terms: 3v + -3v = 0 6 + -1v = 7 + 0 6 + -1v = 7 Add '-6' to each side of the equation. 6 + -6 + -1v = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 7 + -6 -1v = 7 + -6 Combine like terms: 7 + -6 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1
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