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Simplifying 5(v + -9) + -1 = -7(3v + 7) + -1v Reorder the terms: 5(-9 + v) + -1 = -7(3v + 7) + -1v (-9 * 5 + v * 5) + -1 = -7(3v + 7) + -1v (-45 + 5v) + -1 = -7(3v + 7) + -1v Reorder the terms: -45 + -1 + 5v = -7(3v + 7) + -1v Combine like terms: -45 + -1 = -46 -46 + 5v = -7(3v + 7) + -1v Reorder the terms: -46 + 5v = -7(7 + 3v) + -1v -46 + 5v = (7 * -7 + 3v * -7) + -1v -46 + 5v = (-49 + -21v) + -1v Combine like terms: -21v + -1v = -22v -46 + 5v = -49 + -22v Solving -46 + 5v = -49 + -22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22v' to each side of the equation. -46 + 5v + 22v = -49 + -22v + 22v Combine like terms: 5v + 22v = 27v -46 + 27v = -49 + -22v + 22v Combine like terms: -22v + 22v = 0 -46 + 27v = -49 + 0 -46 + 27v = -49 Add '46' to each side of the equation. -46 + 46 + 27v = -49 + 46 Combine like terms: -46 + 46 = 0 0 + 27v = -49 + 46 27v = -49 + 46 Combine like terms: -49 + 46 = -3 27v = -3 Divide each side by '27'. v = -0.1111111111 Simplifying v = -0.1111111111
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