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Simplifying 8v + 7 = 6v + -8 + 7 Reorder the terms: 7 + 8v = 6v + -8 + 7 Reorder the terms: 7 + 8v = -8 + 7 + 6v Combine like terms: -8 + 7 = -1 7 + 8v = -1 + 6v Solving 7 + 8v = -1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 7 + 8v + -6v = -1 + 6v + -6v Combine like terms: 8v + -6v = 2v 7 + 2v = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + 2v = -1 + 0 7 + 2v = -1 Add '-7' to each side of the equation. 7 + -7 + 2v = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = -1 + -7 2v = -1 + -7 Combine like terms: -1 + -7 = -8 2v = -8 Divide each side by '2'. v = -4 Simplifying v = -4
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