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Simplifying 2(v + -8) + -9 = -2(-9v + 9) + -2v Reorder the terms: 2(-8 + v) + -9 = -2(-9v + 9) + -2v (-8 * 2 + v * 2) + -9 = -2(-9v + 9) + -2v (-16 + 2v) + -9 = -2(-9v + 9) + -2v Reorder the terms: -16 + -9 + 2v = -2(-9v + 9) + -2v Combine like terms: -16 + -9 = -25 -25 + 2v = -2(-9v + 9) + -2v Reorder the terms: -25 + 2v = -2(9 + -9v) + -2v -25 + 2v = (9 * -2 + -9v * -2) + -2v -25 + 2v = (-18 + 18v) + -2v Combine like terms: 18v + -2v = 16v -25 + 2v = -18 + 16v Solving -25 + 2v = -18 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -25 + 2v + -16v = -18 + 16v + -16v Combine like terms: 2v + -16v = -14v -25 + -14v = -18 + 16v + -16v Combine like terms: 16v + -16v = 0 -25 + -14v = -18 + 0 -25 + -14v = -18 Add '25' to each side of the equation. -25 + 25 + -14v = -18 + 25 Combine like terms: -25 + 25 = 0 0 + -14v = -18 + 25 -14v = -18 + 25 Combine like terms: -18 + 25 = 7 -14v = 7 Divide each side by '-14'. v = -0.5 Simplifying v = -0.5
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