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Simplifying v + 2(1 + -6v) = -6v + 2 v + (1 * 2 + -6v * 2) = -6v + 2 v + (2 + -12v) = -6v + 2 Reorder the terms: 2 + v + -12v = -6v + 2 Combine like terms: v + -12v = -11v 2 + -11v = -6v + 2 Reorder the terms: 2 + -11v = 2 + -6v Add '-2' to each side of the equation. 2 + -2 + -11v = 2 + -2 + -6v Combine like terms: 2 + -2 = 0 0 + -11v = 2 + -2 + -6v -11v = 2 + -2 + -6v Combine like terms: 2 + -2 = 0 -11v = 0 + -6v -11v = -6v Solving -11v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -11v + 6v = -6v + 6v Combine like terms: -11v + 6v = -5v -5v = -6v + 6v Combine like terms: -6v + 6v = 0 -5v = 0 Divide each side by '-5'. v = 0 Simplifying v = 0
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