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Simplifying 6(v + -1) + -8 = -3(9v + 8) + -6v Reorder the terms: 6(-1 + v) + -8 = -3(9v + 8) + -6v (-1 * 6 + v * 6) + -8 = -3(9v + 8) + -6v (-6 + 6v) + -8 = -3(9v + 8) + -6v Reorder the terms: -6 + -8 + 6v = -3(9v + 8) + -6v Combine like terms: -6 + -8 = -14 -14 + 6v = -3(9v + 8) + -6v Reorder the terms: -14 + 6v = -3(8 + 9v) + -6v -14 + 6v = (8 * -3 + 9v * -3) + -6v -14 + 6v = (-24 + -27v) + -6v Combine like terms: -27v + -6v = -33v -14 + 6v = -24 + -33v Solving -14 + 6v = -24 + -33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '33v' to each side of the equation. -14 + 6v + 33v = -24 + -33v + 33v Combine like terms: 6v + 33v = 39v -14 + 39v = -24 + -33v + 33v Combine like terms: -33v + 33v = 0 -14 + 39v = -24 + 0 -14 + 39v = -24 Add '14' to each side of the equation. -14 + 14 + 39v = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 39v = -24 + 14 39v = -24 + 14 Combine like terms: -24 + 14 = -10 39v = -10 Divide each side by '39'. v = -0.2564102564 Simplifying v = -0.2564102564
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