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Simplifying 3v + -30 + v + 7 = 3v Reorder the terms: -30 + 7 + 3v + v = 3v Combine like terms: -30 + 7 = -23 -23 + 3v + v = 3v Combine like terms: 3v + v = 4v -23 + 4v = 3v Solving -23 + 4v = 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. -23 + 4v + -3v = 3v + -3v Combine like terms: 4v + -3v = 1v -23 + 1v = 3v + -3v Combine like terms: 3v + -3v = 0 -23 + 1v = 0 Add '23' to each side of the equation. -23 + 23 + 1v = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1v = 0 + 23 1v = 0 + 23 Combine like terms: 0 + 23 = 23 1v = 23 Divide each side by '1'. v = 23 Simplifying v = 23
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