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Simplifying -8.5v + 2(2.6v + -17.81) = -14.6v + 4.42 + 13.5v Reorder the terms: -8.5v + 2(-17.81 + 2.6v) = -14.6v + 4.42 + 13.5v -8.5v + (-17.81 * 2 + 2.6v * 2) = -14.6v + 4.42 + 13.5v -8.5v + (-35.62 + 5.2v) = -14.6v + 4.42 + 13.5v Reorder the terms: -35.62 + -8.5v + 5.2v = -14.6v + 4.42 + 13.5v Combine like terms: -8.5v + 5.2v = -3.3v -35.62 + -3.3v = -14.6v + 4.42 + 13.5v Reorder the terms: -35.62 + -3.3v = 4.42 + -14.6v + 13.5v Combine like terms: -14.6v + 13.5v = -1.1v -35.62 + -3.3v = 4.42 + -1.1v Solving -35.62 + -3.3v = 4.42 + -1.1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1.1v' to each side of the equation. -35.62 + -3.3v + 1.1v = 4.42 + -1.1v + 1.1v Combine like terms: -3.3v + 1.1v = -2.2v -35.62 + -2.2v = 4.42 + -1.1v + 1.1v Combine like terms: -1.1v + 1.1v = 0.0 -35.62 + -2.2v = 4.42 + 0.0 -35.62 + -2.2v = 4.42 Add '35.62' to each side of the equation. -35.62 + 35.62 + -2.2v = 4.42 + 35.62 Combine like terms: -35.62 + 35.62 = 0.00 0.00 + -2.2v = 4.42 + 35.62 -2.2v = 4.42 + 35.62 Combine like terms: 4.42 + 35.62 = 40.04 -2.2v = 40.04 Divide each side by '-2.2'. v = -18.2 Simplifying v = -18.2
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