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Simplifying -19 + 4v = 5(-1v + 7) Reorder the terms: -19 + 4v = 5(7 + -1v) -19 + 4v = (7 * 5 + -1v * 5) -19 + 4v = (35 + -5v) Solving -19 + 4v = 35 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -19 + 4v + 5v = 35 + -5v + 5v Combine like terms: 4v + 5v = 9v -19 + 9v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 -19 + 9v = 35 + 0 -19 + 9v = 35 Add '19' to each side of the equation. -19 + 19 + 9v = 35 + 19 Combine like terms: -19 + 19 = 0 0 + 9v = 35 + 19 9v = 35 + 19 Combine like terms: 35 + 19 = 54 9v = 54 Divide each side by '9'. v = 6 Simplifying v = 6
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