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Simplifying 3v + 4 = 8v + -6 Reorder the terms: 4 + 3v = 8v + -6 Reorder the terms: 4 + 3v = -6 + 8v Solving 4 + 3v = -6 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 4 + 3v + -8v = -6 + 8v + -8v Combine like terms: 3v + -8v = -5v 4 + -5v = -6 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -5v = -6 + 0 4 + -5v = -6 Add '-4' to each side of the equation. 4 + -4 + -5v = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = -6 + -4 -5v = -6 + -4 Combine like terms: -6 + -4 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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