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Simplifying -5(v + 5) = -9v + -49 Reorder the terms: -5(5 + v) = -9v + -49 (5 * -5 + v * -5) = -9v + -49 (-25 + -5v) = -9v + -49 Reorder the terms: -25 + -5v = -49 + -9v Solving -25 + -5v = -49 + -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. -25 + -5v + 9v = -49 + -9v + 9v Combine like terms: -5v + 9v = 4v -25 + 4v = -49 + -9v + 9v Combine like terms: -9v + 9v = 0 -25 + 4v = -49 + 0 -25 + 4v = -49 Add '25' to each side of the equation. -25 + 25 + 4v = -49 + 25 Combine like terms: -25 + 25 = 0 0 + 4v = -49 + 25 4v = -49 + 25 Combine like terms: -49 + 25 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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