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Simplifying 39 = -8(1 + 7v) + -3(3v + 6) 39 = (1 * -8 + 7v * -8) + -3(3v + 6) 39 = (-8 + -56v) + -3(3v + 6) Reorder the terms: 39 = -8 + -56v + -3(6 + 3v) 39 = -8 + -56v + (6 * -3 + 3v * -3) 39 = -8 + -56v + (-18 + -9v) Reorder the terms: 39 = -8 + -18 + -56v + -9v Combine like terms: -8 + -18 = -26 39 = -26 + -56v + -9v Combine like terms: -56v + -9v = -65v 39 = -26 + -65v Solving 39 = -26 + -65v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '65v' to each side of the equation. 39 + 65v = -26 + -65v + 65v Combine like terms: -65v + 65v = 0 39 + 65v = -26 + 0 39 + 65v = -26 Add '-39' to each side of the equation. 39 + -39 + 65v = -26 + -39 Combine like terms: 39 + -39 = 0 0 + 65v = -26 + -39 65v = -26 + -39 Combine like terms: -26 + -39 = -65 65v = -65 Divide each side by '65'. v = -1 Simplifying v = -1
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