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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 = -6v 33 + -6v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 33 + -6v = 9 + 0 33 + -6v = 9 Add '-33' to each side of the equation. 33 + -33 + -6v = 9 + -33 Combine like terms: 33 + -33 = 0 0 + -6v = 9 + -33 -6v = 9 + -33 Combine like terms: 9 + -33 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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