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Simplifying v + -22 + 34 = 3v + 11 + -33 Reorder the terms: -22 + 34 + v = 3v + 11 + -33 Combine like terms: -22 + 34 = 12 12 + v = 3v + 11 + -33 Reorder the terms: 12 + v = 11 + -33 + 3v Combine like terms: 11 + -33 = -22 12 + v = -22 + 3v Solving 12 + v = -22 + 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. 12 + v + -3v = -22 + 3v + -3v Combine like terms: v + -3v = -2v 12 + -2v = -22 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + -2v = -22 + 0 12 + -2v = -22 Add '-12' to each side of the equation. 12 + -12 + -2v = -22 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = -22 + -12 -2v = -22 + -12 Combine like terms: -22 + -12 = -34 -2v = -34 Divide each side by '-2'. v = 17 Simplifying v = 17
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