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Simplifying 5(6 + -4v) = v + -12 (6 * 5 + -4v * 5) = v + -12 (30 + -20v) = v + -12 Reorder the terms: 30 + -20v = -12 + v Solving 30 + -20v = -12 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 30 + -20v + -1v = -12 + v + -1v Combine like terms: -20v + -1v = -21v 30 + -21v = -12 + v + -1v Combine like terms: v + -1v = 0 30 + -21v = -12 + 0 30 + -21v = -12 Add '-30' to each side of the equation. 30 + -30 + -21v = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -21v = -12 + -30 -21v = -12 + -30 Combine like terms: -12 + -30 = -42 -21v = -42 Divide each side by '-21'. v = 2 Simplifying v = 2
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