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Simplifying 9(v + 4) = 2v + -27 Reorder the terms: 9(4 + v) = 2v + -27 (4 * 9 + v * 9) = 2v + -27 (36 + 9v) = 2v + -27 Reorder the terms: 36 + 9v = -27 + 2v Solving 36 + 9v = -27 + 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. 36 + 9v + -2v = -27 + 2v + -2v Combine like terms: 9v + -2v = 7v 36 + 7v = -27 + 2v + -2v Combine like terms: 2v + -2v = 0 36 + 7v = -27 + 0 36 + 7v = -27 Add '-36' to each side of the equation. 36 + -36 + 7v = -27 + -36 Combine like terms: 36 + -36 = 0 0 + 7v = -27 + -36 7v = -27 + -36 Combine like terms: -27 + -36 = -63 7v = -63 Divide each side by '7'. v = -9 Simplifying v = -9
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