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Simplifying 9v + 33 = -3(v + -3) Reorder the terms: 33 + 9v = -3(v + -3) Reorder the terms: 33 + 9v = -3(-3 + v) 33 + 9v = (-3 * -3 + v * -3) 33 + 9v = (9 + -3v) Solving 33 + 9v = 9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 33 + 9v + 3v = 9 + -3v + 3v Combine like terms: 9v + 3v = 12v 33 + 12v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 33 + 12v = 9 + 0 33 + 12v = 9 Add '-33' to each side of the equation. 33 + -33 + 12v = 9 + -33 Combine like terms: 33 + -33 = 0 0 + 12v = 9 + -33 12v = 9 + -33 Combine like terms: 9 + -33 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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