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Simplifying 11(9v + 5) = -40 + 4v Reorder the terms: 11(5 + 9v) = -40 + 4v (5 * 11 + 9v * 11) = -40 + 4v (55 + 99v) = -40 + 4v Solving 55 + 99v = -40 + 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. 55 + 99v + -4v = -40 + 4v + -4v Combine like terms: 99v + -4v = 95v 55 + 95v = -40 + 4v + -4v Combine like terms: 4v + -4v = 0 55 + 95v = -40 + 0 55 + 95v = -40 Add '-55' to each side of the equation. 55 + -55 + 95v = -40 + -55 Combine like terms: 55 + -55 = 0 0 + 95v = -40 + -55 95v = -40 + -55 Combine like terms: -40 + -55 = -95 95v = -95 Divide each side by '95'. v = -1 Simplifying v = -1
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