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Simplifying 19 = 5(v + 5) + -2v Reorder the terms: 19 = 5(5 + v) + -2v 19 = (5 * 5 + v * 5) + -2v 19 = (25 + 5v) + -2v Combine like terms: 5v + -2v = 3v 19 = 25 + 3v Solving 19 = 25 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 19 + -3v = 25 + 3v + -3v Combine like terms: 3v + -3v = 0 19 + -3v = 25 + 0 19 + -3v = 25 Add '-19' to each side of the equation. 19 + -19 + -3v = 25 + -19 Combine like terms: 19 + -19 = 0 0 + -3v = 25 + -19 -3v = 25 + -19 Combine like terms: 25 + -19 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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