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Simplifying 13.7v + -6.5 = 2.3v + 8.3 Reorder the terms: -6.5 + 13.7v = 2.3v + 8.3 Reorder the terms: -6.5 + 13.7v = 8.3 + 2.3v Solving -6.5 + 13.7v = 8.3 + 2.3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.3v' to each side of the equation. -6.5 + 13.7v + -2.3v = 8.3 + 2.3v + -2.3v Combine like terms: 13.7v + -2.3v = 11.4v -6.5 + 11.4v = 8.3 + 2.3v + -2.3v Combine like terms: 2.3v + -2.3v = 0.0 -6.5 + 11.4v = 8.3 + 0.0 -6.5 + 11.4v = 8.3 Add '6.5' to each side of the equation. -6.5 + 6.5 + 11.4v = 8.3 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 11.4v = 8.3 + 6.5 11.4v = 8.3 + 6.5 Combine like terms: 8.3 + 6.5 = 14.8 11.4v = 14.8 Divide each side by '11.4'. v = 1.298245614 Simplifying v = 1.298245614
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