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Simplifying -3(-4v + 3) = -6(-9 + -5v) + 6v Reorder the terms: -3(3 + -4v) = -6(-9 + -5v) + 6v (3 * -3 + -4v * -3) = -6(-9 + -5v) + 6v (-9 + 12v) = -6(-9 + -5v) + 6v -9 + 12v = (-9 * -6 + -5v * -6) + 6v -9 + 12v = (54 + 30v) + 6v Combine like terms: 30v + 6v = 36v -9 + 12v = 54 + 36v Solving -9 + 12v = 54 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. -9 + 12v + -36v = 54 + 36v + -36v Combine like terms: 12v + -36v = -24v -9 + -24v = 54 + 36v + -36v Combine like terms: 36v + -36v = 0 -9 + -24v = 54 + 0 -9 + -24v = 54 Add '9' to each side of the equation. -9 + 9 + -24v = 54 + 9 Combine like terms: -9 + 9 = 0 0 + -24v = 54 + 9 -24v = 54 + 9 Combine like terms: 54 + 9 = 63 -24v = 63 Divide each side by '-24'. v = -2.625 Simplifying v = -2.625
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