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Simplifying 9v + -9 = 3v + 4v + -7 Reorder the terms: -9 + 9v = 3v + 4v + -7 Reorder the terms: -9 + 9v = -7 + 3v + 4v Combine like terms: 3v + 4v = 7v -9 + 9v = -7 + 7v Solving -9 + 9v = -7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -9 + 9v + -7v = -7 + 7v + -7v Combine like terms: 9v + -7v = 2v -9 + 2v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 -9 + 2v = -7 + 0 -9 + 2v = -7 Add '9' to each side of the equation. -9 + 9 + 2v = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 2v = -7 + 9 2v = -7 + 9 Combine like terms: -7 + 9 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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