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Simplifying 12v + 18 = 3(-4v + 6) Reorder the terms: 18 + 12v = 3(-4v + 6) Reorder the terms: 18 + 12v = 3(6 + -4v) 18 + 12v = (6 * 3 + -4v * 3) 18 + 12v = (18 + -12v) Add '-18' to each side of the equation. 18 + -18 + 12v = 18 + -18 + -12v Combine like terms: 18 + -18 = 0 0 + 12v = 18 + -18 + -12v 12v = 18 + -18 + -12v Combine like terms: 18 + -18 = 0 12v = 0 + -12v 12v = -12v Solving 12v = -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. 12v + 12v = -12v + 12v Combine like terms: 12v + 12v = 24v 24v = -12v + 12v Combine like terms: -12v + 12v = 0 24v = 0 Divide each side by '24'. v = 0 Simplifying v = 0
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