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Simplifying -4v(v + -2) = -4v(v + -8) + -8v Reorder the terms: -4v(-2 + v) = -4v(v + -8) + -8v (-2 * -4v + v * -4v) = -4v(v + -8) + -8v (8v + -4v2) = -4v(v + -8) + -8v Reorder the terms: 8v + -4v2 = -4v(-8 + v) + -8v 8v + -4v2 = (-8 * -4v + v * -4v) + -8v 8v + -4v2 = (32v + -4v2) + -8v Reorder the terms: 8v + -4v2 = 32v + -8v + -4v2 Combine like terms: 32v + -8v = 24v 8v + -4v2 = 24v + -4v2 Add '4v2' to each side of the equation. 8v + -4v2 + 4v2 = 24v + -4v2 + 4v2 Combine like terms: -4v2 + 4v2 = 0 8v + 0 = 24v + -4v2 + 4v2 8v = 24v + -4v2 + 4v2 Combine like terms: -4v2 + 4v2 = 0 8v = 24v + 0 8v = 24v Solving 8v = 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. 8v + -24v = 24v + -24v Combine like terms: 8v + -24v = -16v -16v = 24v + -24v Combine like terms: 24v + -24v = 0 -16v = 0 Divide each side by '-16'. v = 0 Simplifying v = 0
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