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Simplifying -4v + 25 = 7(5v + 2) + -8v Reorder the terms: 25 + -4v = 7(5v + 2) + -8v Reorder the terms: 25 + -4v = 7(2 + 5v) + -8v 25 + -4v = (2 * 7 + 5v * 7) + -8v 25 + -4v = (14 + 35v) + -8v Combine like terms: 35v + -8v = 27v 25 + -4v = 14 + 27v Solving 25 + -4v = 14 + 27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27v' to each side of the equation. 25 + -4v + -27v = 14 + 27v + -27v Combine like terms: -4v + -27v = -31v 25 + -31v = 14 + 27v + -27v Combine like terms: 27v + -27v = 0 25 + -31v = 14 + 0 25 + -31v = 14 Add '-25' to each side of the equation. 25 + -25 + -31v = 14 + -25 Combine like terms: 25 + -25 = 0 0 + -31v = 14 + -25 -31v = 14 + -25 Combine like terms: 14 + -25 = -11 -31v = -11 Divide each side by '-31'. v = 0.3548387097 Simplifying v = 0.3548387097
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