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Simplifying 7v + 5 = 9v + -21 Reorder the terms: 5 + 7v = 9v + -21 Reorder the terms: 5 + 7v = -21 + 9v Solving 5 + 7v = -21 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 5 + 7v + -9v = -21 + 9v + -9v Combine like terms: 7v + -9v = -2v 5 + -2v = -21 + 9v + -9v Combine like terms: 9v + -9v = 0 5 + -2v = -21 + 0 5 + -2v = -21 Add '-5' to each side of the equation. 5 + -5 + -2v = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = -21 + -5 -2v = -21 + -5 Combine like terms: -21 + -5 = -26 -2v = -26 Divide each side by '-2'. v = 13 Simplifying v = 13
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