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Simplifying 3(4 + -1v) = 6v + 12 (4 * 3 + -1v * 3) = 6v + 12 (12 + -3v) = 6v + 12 Reorder the terms: 12 + -3v = 12 + 6v Add '-12' to each side of the equation. 12 + -12 + -3v = 12 + -12 + 6v Combine like terms: 12 + -12 = 0 0 + -3v = 12 + -12 + 6v -3v = 12 + -12 + 6v Combine like terms: 12 + -12 = 0 -3v = 0 + 6v -3v = 6v Solving -3v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -3v + -6v = 6v + -6v Combine like terms: -3v + -6v = -9v -9v = 6v + -6v Combine like terms: 6v + -6v = 0 -9v = 0 Divide each side by '-9'. v = 0 Simplifying v = 0
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