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Simplifying 5v + -5 + 2v = 8v + 1 Reorder the terms: -5 + 5v + 2v = 8v + 1 Combine like terms: 5v + 2v = 7v -5 + 7v = 8v + 1 Reorder the terms: -5 + 7v = 1 + 8v Solving -5 + 7v = 1 + 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. -5 + 7v + -8v = 1 + 8v + -8v Combine like terms: 7v + -8v = -1v -5 + -1v = 1 + 8v + -8v Combine like terms: 8v + -8v = 0 -5 + -1v = 1 + 0 -5 + -1v = 1 Add '5' to each side of the equation. -5 + 5 + -1v = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 1 + 5 -1v = 1 + 5 Combine like terms: 1 + 5 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6
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