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Simplifying 4(3 + v) + 32v = 12v (3 * 4 + v * 4) + 32v = 12v (12 + 4v) + 32v = 12v Combine like terms: 4v + 32v = 36v 12 + 36v = 12v Solving 12 + 36v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 12 + 36v + -12v = 12v + -12v Combine like terms: 36v + -12v = 24v 12 + 24v = 12v + -12v Combine like terms: 12v + -12v = 0 12 + 24v = 0 Add '-12' to each side of the equation. 12 + -12 + 24v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 24v = 0 + -12 24v = 0 + -12 Combine like terms: 0 + -12 = -12 24v = -12 Divide each side by '24'. v = -0.5 Simplifying v = -0.5
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