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Simplifying 2(9 + -12v) = -11(v + 2) + -3v (9 * 2 + -12v * 2) = -11(v + 2) + -3v (18 + -24v) = -11(v + 2) + -3v Reorder the terms: 18 + -24v = -11(2 + v) + -3v 18 + -24v = (2 * -11 + v * -11) + -3v 18 + -24v = (-22 + -11v) + -3v Combine like terms: -11v + -3v = -14v 18 + -24v = -22 + -14v Solving 18 + -24v = -22 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 18 + -24v + 14v = -22 + -14v + 14v Combine like terms: -24v + 14v = -10v 18 + -10v = -22 + -14v + 14v Combine like terms: -14v + 14v = 0 18 + -10v = -22 + 0 18 + -10v = -22 Add '-18' to each side of the equation. 18 + -18 + -10v = -22 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = -22 + -18 -10v = -22 + -18 Combine like terms: -22 + -18 = -40 -10v = -40 Divide each side by '-10'. v = 4 Simplifying v = 4
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