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Simplifying 7v + -9v + -3v + 8 = 20 + -1v Reorder the terms: 8 + 7v + -9v + -3v = 20 + -1v Combine like terms: 7v + -9v = -2v 8 + -2v + -3v = 20 + -1v Combine like terms: -2v + -3v = -5v 8 + -5v = 20 + -1v Solving 8 + -5v = 20 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 8 + -5v + v = 20 + -1v + v Combine like terms: -5v + v = -4v 8 + -4v = 20 + -1v + v Combine like terms: -1v + v = 0 8 + -4v = 20 + 0 8 + -4v = 20 Add '-8' to each side of the equation. 8 + -8 + -4v = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = 20 + -8 -4v = 20 + -8 Combine like terms: 20 + -8 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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