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Simplifying 3v + -8 = 8 + 2v + 5v Reorder the terms: -8 + 3v = 8 + 2v + 5v Combine like terms: 2v + 5v = 7v -8 + 3v = 8 + 7v Solving -8 + 3v = 8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -8 + 3v + -7v = 8 + 7v + -7v Combine like terms: 3v + -7v = -4v -8 + -4v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -4v = 8 + 0 -8 + -4v = 8 Add '8' to each side of the equation. -8 + 8 + -4v = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = 8 + 8 -4v = 8 + 8 Combine like terms: 8 + 8 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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