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Simplifying 3(v + 3) + -6v = 33 Reorder the terms: 3(3 + v) + -6v = 33 (3 * 3 + v * 3) + -6v = 33 (9 + 3v) + -6v = 33 Combine like terms: 3v + -6v = -3v 9 + -3v = 33 Solving 9 + -3v = 33 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3v = 33 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = 33 + -9 -3v = 33 + -9 Combine like terms: 33 + -9 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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