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Simplifying 8 = 4 + -3v + -6 + 5v Reorder the terms: 8 = 4 + -6 + -3v + 5v Combine like terms: 4 + -6 = -2 8 = -2 + -3v + 5v Combine like terms: -3v + 5v = 2v 8 = -2 + 2v Solving 8 = -2 + 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. 8 + -2v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -2v = -2 + 0 8 + -2v = -2 Add '-8' to each side of the equation. 8 + -8 + -2v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = -2 + -8 -2v = -2 + -8 Combine like terms: -2 + -8 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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