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Simplifying 3.1v + -14 = 1.3v + 6.7 Reorder the terms: -14 + 3.1v = 1.3v + 6.7 Reorder the terms: -14 + 3.1v = 6.7 + 1.3v Solving -14 + 3.1v = 6.7 + 1.3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1.3v' to each side of the equation. -14 + 3.1v + -1.3v = 6.7 + 1.3v + -1.3v Combine like terms: 3.1v + -1.3v = 1.8v -14 + 1.8v = 6.7 + 1.3v + -1.3v Combine like terms: 1.3v + -1.3v = 0.0 -14 + 1.8v = 6.7 + 0.0 -14 + 1.8v = 6.7 Add '14' to each side of the equation. -14 + 14 + 1.8v = 6.7 + 14 Combine like terms: -14 + 14 = 0 0 + 1.8v = 6.7 + 14 1.8v = 6.7 + 14 Combine like terms: 6.7 + 14 = 20.7 1.8v = 20.7 Divide each side by '1.8'. v = 11.5 Simplifying v = 11.5
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