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Simplifying 5v + 31 = -9(v + 9) Reorder the terms: 31 + 5v = -9(v + 9) Reorder the terms: 31 + 5v = -9(9 + v) 31 + 5v = (9 * -9 + v * -9) 31 + 5v = (-81 + -9v) Solving 31 + 5v = -81 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 31 + 5v + 9v = -81 + -9v + 9v Combine like terms: 5v + 9v = 14v 31 + 14v = -81 + -9v + 9v Combine like terms: -9v + 9v = 0 31 + 14v = -81 + 0 31 + 14v = -81 Add '-31' to each side of the equation. 31 + -31 + 14v = -81 + -31 Combine like terms: 31 + -31 = 0 0 + 14v = -81 + -31 14v = -81 + -31 Combine like terms: -81 + -31 = -112 14v = -112 Divide each side by '14'. v = -8 Simplifying v = -8
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