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Simplifying -5(v + -5) = 17 + -4v Reorder the terms: -5(-5 + v) = 17 + -4v (-5 * -5 + v * -5) = 17 + -4v (25 + -5v) = 17 + -4v Solving 25 + -5v = 17 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 25 + -5v + 4v = 17 + -4v + 4v Combine like terms: -5v + 4v = -1v 25 + -1v = 17 + -4v + 4v Combine like terms: -4v + 4v = 0 25 + -1v = 17 + 0 25 + -1v = 17 Add '-25' to each side of the equation. 25 + -25 + -1v = 17 + -25 Combine like terms: 25 + -25 = 0 0 + -1v = 17 + -25 -1v = 17 + -25 Combine like terms: 17 + -25 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8
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