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