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Simplifying -6v + 33 = -9(v + -6) Reorder the terms: 33 + -6v = -9(v + -6) Reorder the terms: 33 + -6v = -9(-6 + v) 33 + -6v = (-6 * -9 + v * -9) 33 + -6v = (54 + -9v) Solving 33 + -6v = 54 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 33 + -6v + 9v = 54 + -9v + 9v Combine like terms: -6v + 9v = 3v 33 + 3v = 54 + -9v + 9v Combine like terms: -9v + 9v = 0 33 + 3v = 54 + 0 33 + 3v = 54 Add '-33' to each side of the equation. 33 + -33 + 3v = 54 + -33 Combine like terms: 33 + -33 = 0 0 + 3v = 54 + -33 3v = 54 + -33 Combine like terms: 54 + -33 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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