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Simplifying 7v + -1 + -8v + 5 = v + 2 Reorder the terms: -1 + 5 + 7v + -8v = v + 2 Combine like terms: -1 + 5 = 4 4 + 7v + -8v = v + 2 Combine like terms: 7v + -8v = -1v 4 + -1v = v + 2 Reorder the terms: 4 + -1v = 2 + v Solving 4 + -1v = 2 + v 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. 4 + -1v + -1v = 2 + v + -1v Combine like terms: -1v + -1v = -2v 4 + -2v = 2 + v + -1v Combine like terms: v + -1v = 0 4 + -2v = 2 + 0 4 + -2v = 2 Add '-4' to each side of the equation. 4 + -4 + -2v = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = 2 + -4 -2v = 2 + -4 Combine like terms: 2 + -4 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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