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Simplifying 2(v + -4) + -9 = -3(-7v + 9) + -3v Reorder the terms: 2(-4 + v) + -9 = -3(-7v + 9) + -3v (-4 * 2 + v * 2) + -9 = -3(-7v + 9) + -3v (-8 + 2v) + -9 = -3(-7v + 9) + -3v Reorder the terms: -8 + -9 + 2v = -3(-7v + 9) + -3v Combine like terms: -8 + -9 = -17 -17 + 2v = -3(-7v + 9) + -3v Reorder the terms: -17 + 2v = -3(9 + -7v) + -3v -17 + 2v = (9 * -3 + -7v * -3) + -3v -17 + 2v = (-27 + 21v) + -3v Combine like terms: 21v + -3v = 18v -17 + 2v = -27 + 18v Solving -17 + 2v = -27 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -17 + 2v + -18v = -27 + 18v + -18v Combine like terms: 2v + -18v = -16v -17 + -16v = -27 + 18v + -18v Combine like terms: 18v + -18v = 0 -17 + -16v = -27 + 0 -17 + -16v = -27 Add '17' to each side of the equation. -17 + 17 + -16v = -27 + 17 Combine like terms: -17 + 17 = 0 0 + -16v = -27 + 17 -16v = -27 + 17 Combine like terms: -27 + 17 = -10 -16v = -10 Divide each side by '-16'. v = 0.625 Simplifying v = 0.625
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