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Simplifying 3v + -9 = -1v + 27 Reorder the terms: -9 + 3v = -1v + 27 Reorder the terms: -9 + 3v = 27 + -1v Solving -9 + 3v = 27 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -9 + 3v + v = 27 + -1v + v Combine like terms: 3v + v = 4v -9 + 4v = 27 + -1v + v Combine like terms: -1v + v = 0 -9 + 4v = 27 + 0 -9 + 4v = 27 Add '9' to each side of the equation. -9 + 9 + 4v = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 4v = 27 + 9 4v = 27 + 9 Combine like terms: 27 + 9 = 36 4v = 36 Divide each side by '4'. v = 9 Simplifying v = 9
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