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Simplifying 8 + 7v + -7 = 3v + 9 Reorder the terms: 8 + -7 + 7v = 3v + 9 Combine like terms: 8 + -7 = 1 1 + 7v = 3v + 9 Reorder the terms: 1 + 7v = 9 + 3v Solving 1 + 7v = 9 + 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. 1 + 7v + -3v = 9 + 3v + -3v Combine like terms: 7v + -3v = 4v 1 + 4v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + 4v = 9 + 0 1 + 4v = 9 Add '-1' to each side of the equation. 1 + -1 + 4v = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4v = 9 + -1 4v = 9 + -1 Combine like terms: 9 + -1 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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