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Simplifying -5(v + -1) = -9v + -27 Reorder the terms: -5(-1 + v) = -9v + -27 (-1 * -5 + v * -5) = -9v + -27 (5 + -5v) = -9v + -27 Reorder the terms: 5 + -5v = -27 + -9v Solving 5 + -5v = -27 + -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. 5 + -5v + 9v = -27 + -9v + 9v Combine like terms: -5v + 9v = 4v 5 + 4v = -27 + -9v + 9v Combine like terms: -9v + 9v = 0 5 + 4v = -27 + 0 5 + 4v = -27 Add '-5' to each side of the equation. 5 + -5 + 4v = -27 + -5 Combine like terms: 5 + -5 = 0 0 + 4v = -27 + -5 4v = -27 + -5 Combine like terms: -27 + -5 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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