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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 = 21v -14 + 6v = -24 + 21v Solving -14 + 6v = -24 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -14 + 6v + -21v = -24 + 21v + -21v Combine like terms: 6v + -21v = -15v -14 + -15v = -24 + 21v + -21v Combine like terms: 21v + -21v = 0 -14 + -15v = -24 + 0 -14 + -15v = -24 Add '14' to each side of the equation. -14 + 14 + -15v = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -15v = -24 + 14 -15v = -24 + 14 Combine like terms: -24 + 14 = -10 -15v = -10 Divide each side by '-15'. v = 0.6666666667 Simplifying v = 0.6666666667
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