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Simplifying 0.33(12 + -24v) = -2(4v + -2) (12 * 0.33 + -24v * 0.33) = -2(4v + -2) (3.96 + -7.92v) = -2(4v + -2) Reorder the terms: 3.96 + -7.92v = -2(-2 + 4v) 3.96 + -7.92v = (-2 * -2 + 4v * -2) 3.96 + -7.92v = (4 + -8v) Solving 3.96 + -7.92v = 4 + -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. 3.96 + -7.92v + 8v = 4 + -8v + 8v Combine like terms: -7.92v + 8v = 0.08v 3.96 + 0.08v = 4 + -8v + 8v Combine like terms: -8v + 8v = 0 3.96 + 0.08v = 4 + 0 3.96 + 0.08v = 4 Add '-3.96' to each side of the equation. 3.96 + -3.96 + 0.08v = 4 + -3.96 Combine like terms: 3.96 + -3.96 = 0.00 0.00 + 0.08v = 4 + -3.96 0.08v = 4 + -3.96 Combine like terms: 4 + -3.96 = 0.04 0.08v = 0.04 Divide each side by '0.08'. v = 0.5 Simplifying v = 0.5
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