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Simplifying 3.1v + -1.4 = 1.3v + 6.7 Reorder the terms: -1.4 + 3.1v = 1.3v + 6.7 Reorder the terms: -1.4 + 3.1v = 6.7 + 1.3v Solving -1.4 + 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. -1.4 + 3.1v + -1.3v = 6.7 + 1.3v + -1.3v Combine like terms: 3.1v + -1.3v = 1.8v -1.4 + 1.8v = 6.7 + 1.3v + -1.3v Combine like terms: 1.3v + -1.3v = 0.0 -1.4 + 1.8v = 6.7 + 0.0 -1.4 + 1.8v = 6.7 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1.8v = 6.7 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1.8v = 6.7 + 1.4 1.8v = 6.7 + 1.4 Combine like terms: 6.7 + 1.4 = 8.1 1.8v = 8.1 Divide each side by '1.8'. v = 4.5 Simplifying v = 4.5
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