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Simplifying -33 = -3v + 3(-3v + 1) Reorder the terms: -33 = -3v + 3(1 + -3v) -33 = -3v + (1 * 3 + -3v * 3) -33 = -3v + (3 + -9v) Reorder the terms: -33 = 3 + -3v + -9v Combine like terms: -3v + -9v = -12v -33 = 3 + -12v Solving -33 = 3 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -33 + 12v = 3 + -12v + 12v Combine like terms: -12v + 12v = 0 -33 + 12v = 3 + 0 -33 + 12v = 3 Add '33' to each side of the equation. -33 + 33 + 12v = 3 + 33 Combine like terms: -33 + 33 = 0 0 + 12v = 3 + 33 12v = 3 + 33 Combine like terms: 3 + 33 = 36 12v = 36 Divide each side by '12'. v = 3 Simplifying v = 3
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