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Simplifying 3v + -3 + 5v = 4v + 9 Reorder the terms: -3 + 3v + 5v = 4v + 9 Combine like terms: 3v + 5v = 8v -3 + 8v = 4v + 9 Reorder the terms: -3 + 8v = 9 + 4v Solving -3 + 8v = 9 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -3 + 8v + -4v = 9 + 4v + -4v Combine like terms: 8v + -4v = 4v -3 + 4v = 9 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 + 4v = 9 + 0 -3 + 4v = 9 Add '3' to each side of the equation. -3 + 3 + 4v = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4v = 9 + 3 4v = 9 + 3 Combine like terms: 9 + 3 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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