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Simplifying 3(v + -2) + -4 = -3(-9v + 2) + -6v Reorder the terms: 3(-2 + v) + -4 = -3(-9v + 2) + -6v (-2 * 3 + v * 3) + -4 = -3(-9v + 2) + -6v (-6 + 3v) + -4 = -3(-9v + 2) + -6v Reorder the terms: -6 + -4 + 3v = -3(-9v + 2) + -6v Combine like terms: -6 + -4 = -10 -10 + 3v = -3(-9v + 2) + -6v Reorder the terms: -10 + 3v = -3(2 + -9v) + -6v -10 + 3v = (2 * -3 + -9v * -3) + -6v -10 + 3v = (-6 + 27v) + -6v Combine like terms: 27v + -6v = 21v -10 + 3v = -6 + 21v Solving -10 + 3v = -6 + 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. -10 + 3v + -21v = -6 + 21v + -21v Combine like terms: 3v + -21v = -18v -10 + -18v = -6 + 21v + -21v Combine like terms: 21v + -21v = 0 -10 + -18v = -6 + 0 -10 + -18v = -6 Add '10' to each side of the equation. -10 + 10 + -18v = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -18v = -6 + 10 -18v = -6 + 10 Combine like terms: -6 + 10 = 4 -18v = 4 Divide each side by '-18'. v = -0.2222222222 Simplifying v = -0.2222222222
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