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Simplifying 5v + 1 = -4v + 19 Reorder the terms: 1 + 5v = -4v + 19 Reorder the terms: 1 + 5v = 19 + -4v Solving 1 + 5v = 19 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 1 + 5v + 4v = 19 + -4v + 4v Combine like terms: 5v + 4v = 9v 1 + 9v = 19 + -4v + 4v Combine like terms: -4v + 4v = 0 1 + 9v = 19 + 0 1 + 9v = 19 Add '-1' to each side of the equation. 1 + -1 + 9v = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 9v = 19 + -1 9v = 19 + -1 Combine like terms: 19 + -1 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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