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Simplifying -33 = 2(v + -6) + -5v Reorder the terms: -33 = 2(-6 + v) + -5v -33 = (-6 * 2 + v * 2) + -5v -33 = (-12 + 2v) + -5v Combine like terms: 2v + -5v = -3v -33 = -12 + -3v Solving -33 = -12 + -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 + 3v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 -33 + 3v = -12 + 0 -33 + 3v = -12 Add '33' to each side of the equation. -33 + 33 + 3v = -12 + 33 Combine like terms: -33 + 33 = 0 0 + 3v = -12 + 33 3v = -12 + 33 Combine like terms: -12 + 33 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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