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