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Simplifying 9v + -11 = -5(v + 5) Reorder the terms: -11 + 9v = -5(v + 5) Reorder the terms: -11 + 9v = -5(5 + v) -11 + 9v = (5 * -5 + v * -5) -11 + 9v = (-25 + -5v) Solving -11 + 9v = -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. -11 + 9v + 5v = -25 + -5v + 5v Combine like terms: 9v + 5v = 14v -11 + 14v = -25 + -5v + 5v Combine like terms: -5v + 5v = 0 -11 + 14v = -25 + 0 -11 + 14v = -25 Add '11' to each side of the equation. -11 + 11 + 14v = -25 + 11 Combine like terms: -11 + 11 = 0 0 + 14v = -25 + 11 14v = -25 + 11 Combine like terms: -25 + 11 = -14 14v = -14 Divide each side by '14'. v = -1 Simplifying v = -1
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