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Simplifying 19 = -7v + 5(v + 5) Reorder the terms: 19 = -7v + 5(5 + v) 19 = -7v + (5 * 5 + v * 5) 19 = -7v + (25 + 5v) Reorder the terms: 19 = 25 + -7v + 5v Combine like terms: -7v + 5v = -2v 19 = 25 + -2v Solving 19 = 25 + -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 + 2v = 25 + -2v + 2v Combine like terms: -2v + 2v = 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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