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Simplifying -1(v + -5) = 17 + 3v Reorder the terms: -1(-5 + v) = 17 + 3v (-5 * -1 + v * -1) = 17 + 3v (5 + -1v) = 17 + 3v Solving 5 + -1v = 17 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 5 + -1v + -3v = 17 + 3v + -3v Combine like terms: -1v + -3v = -4v 5 + -4v = 17 + 3v + -3v Combine like terms: 3v + -3v = 0 5 + -4v = 17 + 0 5 + -4v = 17 Add '-5' to each side of the equation. 5 + -5 + -4v = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 17 + -5 -4v = 17 + -5 Combine like terms: 17 + -5 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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