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Simplifying 31v + -33 = 22v + 21 Reorder the terms: -33 + 31v = 22v + 21 Reorder the terms: -33 + 31v = 21 + 22v Solving -33 + 31v = 21 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. -33 + 31v + -22v = 21 + 22v + -22v Combine like terms: 31v + -22v = 9v -33 + 9v = 21 + 22v + -22v Combine like terms: 22v + -22v = 0 -33 + 9v = 21 + 0 -33 + 9v = 21 Add '33' to each side of the equation. -33 + 33 + 9v = 21 + 33 Combine like terms: -33 + 33 = 0 0 + 9v = 21 + 33 9v = 21 + 33 Combine like terms: 21 + 33 = 54 9v = 54 Divide each side by '9'. v = 6 Simplifying v = 6
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