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Simplifying 27 + 9v = -8(7v + 4) Reorder the terms: 27 + 9v = -8(4 + 7v) 27 + 9v = (4 * -8 + 7v * -8) 27 + 9v = (-32 + -56v) Solving 27 + 9v = -32 + -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. 27 + 9v + 56v = -32 + -56v + 56v Combine like terms: 9v + 56v = 65v 27 + 65v = -32 + -56v + 56v Combine like terms: -56v + 56v = 0 27 + 65v = -32 + 0 27 + 65v = -32 Add '-27' to each side of the equation. 27 + -27 + 65v = -32 + -27 Combine like terms: 27 + -27 = 0 0 + 65v = -32 + -27 65v = -32 + -27 Combine like terms: -32 + -27 = -59 65v = -59 Divide each side by '65'. v = -0.9076923077 Simplifying v = -0.9076923077
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