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Simplifying 8(6 + 2v) = 4v + -12 (6 * 8 + 2v * 8) = 4v + -12 (48 + 16v) = 4v + -12 Reorder the terms: 48 + 16v = -12 + 4v Solving 48 + 16v = -12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 48 + 16v + -4v = -12 + 4v + -4v Combine like terms: 16v + -4v = 12v 48 + 12v = -12 + 4v + -4v Combine like terms: 4v + -4v = 0 48 + 12v = -12 + 0 48 + 12v = -12 Add '-48' to each side of the equation. 48 + -48 + 12v = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 12v = -12 + -48 12v = -12 + -48 Combine like terms: -12 + -48 = -60 12v = -60 Divide each side by '12'. v = -5 Simplifying v = -5
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