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Simplifying 2v + 4 = -9(v + -9) Reorder the terms: 4 + 2v = -9(v + -9) Reorder the terms: 4 + 2v = -9(-9 + v) 4 + 2v = (-9 * -9 + v * -9) 4 + 2v = (81 + -9v) Solving 4 + 2v = 81 + -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. 4 + 2v + 9v = 81 + -9v + 9v Combine like terms: 2v + 9v = 11v 4 + 11v = 81 + -9v + 9v Combine like terms: -9v + 9v = 0 4 + 11v = 81 + 0 4 + 11v = 81 Add '-4' to each side of the equation. 4 + -4 + 11v = 81 + -4 Combine like terms: 4 + -4 = 0 0 + 11v = 81 + -4 11v = 81 + -4 Combine like terms: 81 + -4 = 77 11v = 77 Divide each side by '11'. v = 7 Simplifying v = 7
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