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Simplifying 7v + 19 = 5(v + 5) Reorder the terms: 19 + 7v = 5(v + 5) Reorder the terms: 19 + 7v = 5(5 + v) 19 + 7v = (5 * 5 + v * 5) 19 + 7v = (25 + 5v) Solving 19 + 7v = 25 + 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 + 7v + -5v = 25 + 5v + -5v Combine like terms: 7v + -5v = 2v 19 + 2v = 25 + 5v + -5v Combine like terms: 5v + -5v = 0 19 + 2v = 25 + 0 19 + 2v = 25 Add '-19' to each side of the equation. 19 + -19 + 2v = 25 + -19 Combine like terms: 19 + -19 = 0 0 + 2v = 25 + -19 2v = 25 + -19 Combine like terms: 25 + -19 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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