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