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Simplifying -1v + 6 = -8v + -8 + 9v Reorder the terms: 6 + -1v = -8v + -8 + 9v Reorder the terms: 6 + -1v = -8 + -8v + 9v Combine like terms: -8v + 9v = 1v 6 + -1v = -8 + 1v Solving 6 + -1v = -8 + 1v 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. 6 + -1v + -1v = -8 + 1v + -1v Combine like terms: -1v + -1v = -2v 6 + -2v = -8 + 1v + -1v Combine like terms: 1v + -1v = 0 6 + -2v = -8 + 0 6 + -2v = -8 Add '-6' to each side of the equation. 6 + -6 + -2v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = -8 + -6 -2v = -8 + -6 Combine like terms: -8 + -6 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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