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Simplifying 8(1 + -11v) = 10v + 2(4 + -6v) (1 * 8 + -11v * 8) = 10v + 2(4 + -6v) (8 + -88v) = 10v + 2(4 + -6v) 8 + -88v = 10v + (4 * 2 + -6v * 2) 8 + -88v = 10v + (8 + -12v) Reorder the terms: 8 + -88v = 8 + 10v + -12v Combine like terms: 10v + -12v = -2v 8 + -88v = 8 + -2v Add '-8' to each side of the equation. 8 + -8 + -88v = 8 + -8 + -2v Combine like terms: 8 + -8 = 0 0 + -88v = 8 + -8 + -2v -88v = 8 + -8 + -2v Combine like terms: 8 + -8 = 0 -88v = 0 + -2v -88v = -2v Solving -88v = -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -88v + 2v = -2v + 2v Combine like terms: -88v + 2v = -86v -86v = -2v + 2v Combine like terms: -2v + 2v = 0 -86v = 0 Divide each side by '-86'. v = 0 Simplifying v = 0
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