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Simplifying 3v + -33 = -6(-8 + 4v) Reorder the terms: -33 + 3v = -6(-8 + 4v) -33 + 3v = (-8 * -6 + 4v * -6) -33 + 3v = (48 + -24v) Solving -33 + 3v = 48 + -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. -33 + 3v + 24v = 48 + -24v + 24v Combine like terms: 3v + 24v = 27v -33 + 27v = 48 + -24v + 24v Combine like terms: -24v + 24v = 0 -33 + 27v = 48 + 0 -33 + 27v = 48 Add '33' to each side of the equation. -33 + 33 + 27v = 48 + 33 Combine like terms: -33 + 33 = 0 0 + 27v = 48 + 33 27v = 48 + 33 Combine like terms: 48 + 33 = 81 27v = 81 Divide each side by '27'. v = 3 Simplifying v = 3
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