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Simplifying 0.4v + -5.8 = 6.5v + -12.7 Reorder the terms: -5.8 + 0.4v = 6.5v + -12.7 Reorder the terms: -5.8 + 0.4v = -12.7 + 6.5v Solving -5.8 + 0.4v = -12.7 + 6.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6.5v' to each side of the equation. -5.8 + 0.4v + -6.5v = -12.7 + 6.5v + -6.5v Combine like terms: 0.4v + -6.5v = -6.1v -5.8 + -6.1v = -12.7 + 6.5v + -6.5v Combine like terms: 6.5v + -6.5v = 0.0 -5.8 + -6.1v = -12.7 + 0.0 -5.8 + -6.1v = -12.7 Add '5.8' to each side of the equation. -5.8 + 5.8 + -6.1v = -12.7 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -6.1v = -12.7 + 5.8 -6.1v = -12.7 + 5.8 Combine like terms: -12.7 + 5.8 = -6.9 -6.1v = -6.9 Divide each side by '-6.1'. v = 1.131147541 Simplifying v = 1.131147541
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