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Simplifying -6v + 2 = -7 + 3v Reorder the terms: 2 + -6v = -7 + 3v Solving 2 + -6v = -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. 2 + -6v + -3v = -7 + 3v + -3v Combine like terms: -6v + -3v = -9v 2 + -9v = -7 + 3v + -3v Combine like terms: 3v + -3v = 0 2 + -9v = -7 + 0 2 + -9v = -7 Add '-2' to each side of the equation. 2 + -2 + -9v = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -9v = -7 + -2 -9v = -7 + -2 Combine like terms: -7 + -2 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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