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Simplifying 2(3v + -8) = 8 + 2v Reorder the terms: 2(-8 + 3v) = 8 + 2v (-8 * 2 + 3v * 2) = 8 + 2v (-16 + 6v) = 8 + 2v Solving -16 + 6v = 8 + 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. -16 + 6v + -2v = 8 + 2v + -2v Combine like terms: 6v + -2v = 4v -16 + 4v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -16 + 4v = 8 + 0 -16 + 4v = 8 Add '16' to each side of the equation. -16 + 16 + 4v = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 4v = 8 + 16 4v = 8 + 16 Combine like terms: 8 + 16 = 24 4v = 24 Divide each side by '4'. v = 6 Simplifying v = 6
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