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Simplifying -2(-7V + 6) + -4v = 4(v + -6) + -2 Reorder the terms: -2(6 + -7V) + -4v = 4(v + -6) + -2 (6 * -2 + -7V * -2) + -4v = 4(v + -6) + -2 (-12 + 14V) + -4v = 4(v + -6) + -2 Reorder the terms: -12 + 14V + -4v = 4(-6 + v) + -2 -12 + 14V + -4v = (-6 * 4 + v * 4) + -2 -12 + 14V + -4v = (-24 + 4v) + -2 Reorder the terms: -12 + 14V + -4v = -24 + -2 + 4v Combine like terms: -24 + -2 = -26 -12 + 14V + -4v = -26 + 4v Solving -12 + 14V + -4v = -26 + 4v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 14V + 12 + -4v = -26 + 12 + 4v Reorder the terms: -12 + 12 + 14V + -4v = -26 + 12 + 4v Combine like terms: -12 + 12 = 0 0 + 14V + -4v = -26 + 12 + 4v 14V + -4v = -26 + 12 + 4v Combine like terms: -26 + 12 = -14 14V + -4v = -14 + 4v Add '4v' to each side of the equation. 14V + -4v + 4v = -14 + 4v + 4v Combine like terms: -4v + 4v = 0 14V + 0 = -14 + 4v + 4v 14V = -14 + 4v + 4v Combine like terms: 4v + 4v = 8v 14V = -14 + 8v Divide each side by '14'. V = -1 + 0.5714285714v Simplifying V = -1 + 0.5714285714v
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