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Simplifying -7(2v + 8) = -1(1 + 6v) + 3v Reorder the terms: -7(8 + 2v) = -1(1 + 6v) + 3v (8 * -7 + 2v * -7) = -1(1 + 6v) + 3v (-56 + -14v) = -1(1 + 6v) + 3v -56 + -14v = (1 * -1 + 6v * -1) + 3v -56 + -14v = (-1 + -6v) + 3v Combine like terms: -6v + 3v = -3v -56 + -14v = -1 + -3v Solving -56 + -14v = -1 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -56 + -14v + 3v = -1 + -3v + 3v Combine like terms: -14v + 3v = -11v -56 + -11v = -1 + -3v + 3v Combine like terms: -3v + 3v = 0 -56 + -11v = -1 + 0 -56 + -11v = -1 Add '56' to each side of the equation. -56 + 56 + -11v = -1 + 56 Combine like terms: -56 + 56 = 0 0 + -11v = -1 + 56 -11v = -1 + 56 Combine like terms: -1 + 56 = 55 -11v = 55 Divide each side by '-11'. v = -5 Simplifying v = -5
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