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Simplifying 7v + 19 = -2v + 55 Reorder the terms: 19 + 7v = -2v + 55 Reorder the terms: 19 + 7v = 55 + -2v Solving 19 + 7v = 55 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 19 + 7v + 2v = 55 + -2v + 2v Combine like terms: 7v + 2v = 9v 19 + 9v = 55 + -2v + 2v Combine like terms: -2v + 2v = 0 19 + 9v = 55 + 0 19 + 9v = 55 Add '-19' to each side of the equation. 19 + -19 + 9v = 55 + -19 Combine like terms: 19 + -19 = 0 0 + 9v = 55 + -19 9v = 55 + -19 Combine like terms: 55 + -19 = 36 9v = 36 Divide each side by '9'. v = 4 Simplifying v = 4
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