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Simplifying -31 + -9v = -7(6v + 8) Reorder the terms: -31 + -9v = -7(8 + 6v) -31 + -9v = (8 * -7 + 6v * -7) -31 + -9v = (-56 + -42v) Solving -31 + -9v = -56 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. -31 + -9v + 42v = -56 + -42v + 42v Combine like terms: -9v + 42v = 33v -31 + 33v = -56 + -42v + 42v Combine like terms: -42v + 42v = 0 -31 + 33v = -56 + 0 -31 + 33v = -56 Add '31' to each side of the equation. -31 + 31 + 33v = -56 + 31 Combine like terms: -31 + 31 = 0 0 + 33v = -56 + 31 33v = -56 + 31 Combine like terms: -56 + 31 = -25 33v = -25 Divide each side by '33'. v = -0.7575757576 Simplifying v = -0.7575757576
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