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Simplifying 6 + -6(-4v + 2) = -6 + 8v Reorder the terms: 6 + -6(2 + -4v) = -6 + 8v 6 + (2 * -6 + -4v * -6) = -6 + 8v 6 + (-12 + 24v) = -6 + 8v Combine like terms: 6 + -12 = -6 -6 + 24v = -6 + 8v Add '6' to each side of the equation. -6 + 6 + 24v = -6 + 6 + 8v Combine like terms: -6 + 6 = 0 0 + 24v = -6 + 6 + 8v 24v = -6 + 6 + 8v Combine like terms: -6 + 6 = 0 24v = 0 + 8v 24v = 8v Solving 24v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 24v + -8v = 8v + -8v Combine like terms: 24v + -8v = 16v 16v = 8v + -8v Combine like terms: 8v + -8v = 0 16v = 0 Divide each side by '16'. v = 0 Simplifying v = 0
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