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Simplifying -7(1 + 8v) = 4(v + 6) (1 * -7 + 8v * -7) = 4(v + 6) (-7 + -56v) = 4(v + 6) Reorder the terms: -7 + -56v = 4(6 + v) -7 + -56v = (6 * 4 + v * 4) -7 + -56v = (24 + 4v) Solving -7 + -56v = 24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -7 + -56v + -4v = 24 + 4v + -4v Combine like terms: -56v + -4v = -60v -7 + -60v = 24 + 4v + -4v Combine like terms: 4v + -4v = 0 -7 + -60v = 24 + 0 -7 + -60v = 24 Add '7' to each side of the equation. -7 + 7 + -60v = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -60v = 24 + 7 -60v = 24 + 7 Combine like terms: 24 + 7 = 31 -60v = 31 Divide each side by '-60'. v = -0.5166666667 Simplifying v = -0.5166666667
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