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Simplifying v + -6(1 + -8v) = -6 + -2v v + (1 * -6 + -8v * -6) = -6 + -2v v + (-6 + 48v) = -6 + -2v Reorder the terms: -6 + v + 48v = -6 + -2v Combine like terms: v + 48v = 49v -6 + 49v = -6 + -2v Add '6' to each side of the equation. -6 + 6 + 49v = -6 + 6 + -2v Combine like terms: -6 + 6 = 0 0 + 49v = -6 + 6 + -2v 49v = -6 + 6 + -2v Combine like terms: -6 + 6 = 0 49v = 0 + -2v 49v = -2v Solving 49v = -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. 49v + 2v = -2v + 2v Combine like terms: 49v + 2v = 51v 51v = -2v + 2v Combine like terms: -2v + 2v = 0 51v = 0 Divide each side by '51'. v = 0 Simplifying v = 0
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