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Simplifying 4.3v + -6 = 8 + 2 + -3v Reorder the terms: -6 + 4.3v = 8 + 2 + -3v Combine like terms: 8 + 2 = 10 -6 + 4.3v = 10 + -3v Solving -6 + 4.3v = 10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -6 + 4.3v + 3v = 10 + -3v + 3v Combine like terms: 4.3v + 3v = 7.3v -6 + 7.3v = 10 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 7.3v = 10 + 0 -6 + 7.3v = 10 Add '6' to each side of the equation. -6 + 6 + 7.3v = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 7.3v = 10 + 6 7.3v = 10 + 6 Combine like terms: 10 + 6 = 16 7.3v = 16 Divide each side by '7.3'. v = 2.191780822 Simplifying v = 2.191780822
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