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Simplifying -5(v + -5) = -9v + 33 Reorder the terms: -5(-5 + v) = -9v + 33 (-5 * -5 + v * -5) = -9v + 33 (25 + -5v) = -9v + 33 Reorder the terms: 25 + -5v = 33 + -9v Solving 25 + -5v = 33 + -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 = 33 + -9v + 9v Combine like terms: -5v + 9v = 4v 25 + 4v = 33 + -9v + 9v Combine like terms: -9v + 9v = 0 25 + 4v = 33 + 0 25 + 4v = 33 Add '-25' to each side of the equation. 25 + -25 + 4v = 33 + -25 Combine like terms: 25 + -25 = 0 0 + 4v = 33 + -25 4v = 33 + -25 Combine like terms: 33 + -25 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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