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Simplifying -6v + 9 = 2v + -7 Reorder the terms: 9 + -6v = 2v + -7 Reorder the terms: 9 + -6v = -7 + 2v Solving 9 + -6v = -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. 9 + -6v + -2v = -7 + 2v + -2v Combine like terms: -6v + -2v = -8v 9 + -8v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + -8v = -7 + 0 9 + -8v = -7 Add '-9' to each side of the equation. 9 + -9 + -8v = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -8v = -7 + -9 -8v = -7 + -9 Combine like terms: -7 + -9 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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