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Simplifying -8 = 2(-5 + -1v) + 2(1 + -2v) -8 = (-5 * 2 + -1v * 2) + 2(1 + -2v) -8 = (-10 + -2v) + 2(1 + -2v) -8 = -10 + -2v + (1 * 2 + -2v * 2) -8 = -10 + -2v + (2 + -4v) Reorder the terms: -8 = -10 + 2 + -2v + -4v Combine like terms: -10 + 2 = -8 -8 = -8 + -2v + -4v Combine like terms: -2v + -4v = -6v -8 = -8 + -6v Add '8' to each side of the equation. -8 + 8 = -8 + 8 + -6v Combine like terms: -8 + 8 = 0 0 = -8 + 8 + -6v Combine like terms: -8 + 8 = 0 0 = 0 + -6v 0 = -6v Solving 0 = -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. 0 + 6v = -6v + 6v Remove the zero: 6v = -6v + 6v Combine like terms: -6v + 6v = 0 6v = 0 Divide each side by '6'. v = 0 Simplifying v = 0
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