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Simplifying 3(v + -9) + -5 = -5(-4v + 6) + -3v Reorder the terms: 3(-9 + v) + -5 = -5(-4v + 6) + -3v (-9 * 3 + v * 3) + -5 = -5(-4v + 6) + -3v (-27 + 3v) + -5 = -5(-4v + 6) + -3v Reorder the terms: -27 + -5 + 3v = -5(-4v + 6) + -3v Combine like terms: -27 + -5 = -32 -32 + 3v = -5(-4v + 6) + -3v Reorder the terms: -32 + 3v = -5(6 + -4v) + -3v -32 + 3v = (6 * -5 + -4v * -5) + -3v -32 + 3v = (-30 + 20v) + -3v Combine like terms: 20v + -3v = 17v -32 + 3v = -30 + 17v Solving -32 + 3v = -30 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -32 + 3v + -17v = -30 + 17v + -17v Combine like terms: 3v + -17v = -14v -32 + -14v = -30 + 17v + -17v Combine like terms: 17v + -17v = 0 -32 + -14v = -30 + 0 -32 + -14v = -30 Add '32' to each side of the equation. -32 + 32 + -14v = -30 + 32 Combine like terms: -32 + 32 = 0 0 + -14v = -30 + 32 -14v = -30 + 32 Combine like terms: -30 + 32 = 2 -14v = 2 Divide each side by '-14'. v = -0.1428571429 Simplifying v = -0.1428571429
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