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Simplifying -6(12v + -1) = 6(8v + 1) Reorder the terms: -6(-1 + 12v) = 6(8v + 1) (-1 * -6 + 12v * -6) = 6(8v + 1) (6 + -72v) = 6(8v + 1) Reorder the terms: 6 + -72v = 6(1 + 8v) 6 + -72v = (1 * 6 + 8v * 6) 6 + -72v = (6 + 48v) Add '-6' to each side of the equation. 6 + -6 + -72v = 6 + -6 + 48v Combine like terms: 6 + -6 = 0 0 + -72v = 6 + -6 + 48v -72v = 6 + -6 + 48v Combine like terms: 6 + -6 = 0 -72v = 0 + 48v -72v = 48v Solving -72v = 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. -72v + -48v = 48v + -48v Combine like terms: -72v + -48v = -120v -120v = 48v + -48v Combine like terms: 48v + -48v = 0 -120v = 0 Divide each side by '-120'. v = 0.0 Simplifying v = 0.0
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