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Simplifying 9(6v + 4) = -17 + 7v Reorder the terms: 9(4 + 6v) = -17 + 7v (4 * 9 + 6v * 9) = -17 + 7v (36 + 54v) = -17 + 7v Solving 36 + 54v = -17 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 36 + 54v + -7v = -17 + 7v + -7v Combine like terms: 54v + -7v = 47v 36 + 47v = -17 + 7v + -7v Combine like terms: 7v + -7v = 0 36 + 47v = -17 + 0 36 + 47v = -17 Add '-36' to each side of the equation. 36 + -36 + 47v = -17 + -36 Combine like terms: 36 + -36 = 0 0 + 47v = -17 + -36 47v = -17 + -36 Combine like terms: -17 + -36 = -53 47v = -53 Divide each side by '47'. v = -1.127659574 Simplifying v = -1.127659574
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