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Simplifying 9(4v + -2) = 8(3v + -9) Reorder the terms: 9(-2 + 4v) = 8(3v + -9) (-2 * 9 + 4v * 9) = 8(3v + -9) (-18 + 36v) = 8(3v + -9) Reorder the terms: -18 + 36v = 8(-9 + 3v) -18 + 36v = (-9 * 8 + 3v * 8) -18 + 36v = (-72 + 24v) Solving -18 + 36v = -72 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -18 + 36v + -24v = -72 + 24v + -24v Combine like terms: 36v + -24v = 12v -18 + 12v = -72 + 24v + -24v Combine like terms: 24v + -24v = 0 -18 + 12v = -72 + 0 -18 + 12v = -72 Add '18' to each side of the equation. -18 + 18 + 12v = -72 + 18 Combine like terms: -18 + 18 = 0 0 + 12v = -72 + 18 12v = -72 + 18 Combine like terms: -72 + 18 = -54 12v = -54 Divide each side by '12'. v = -4.5 Simplifying v = -4.5
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