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