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Simplifying 9v + 27 = -2(v + 3) Reorder the terms: 27 + 9v = -2(v + 3) Reorder the terms: 27 + 9v = -2(3 + v) 27 + 9v = (3 * -2 + v * -2) 27 + 9v = (-6 + -2v) Solving 27 + 9v = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 27 + 9v + 2v = -6 + -2v + 2v Combine like terms: 9v + 2v = 11v 27 + 11v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 27 + 11v = -6 + 0 27 + 11v = -6 Add '-27' to each side of the equation. 27 + -27 + 11v = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 11v = -6 + -27 11v = -6 + -27 Combine like terms: -6 + -27 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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