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Simplifying -5v + 12v + 9 = 4v + 42 Reorder the terms: 9 + -5v + 12v = 4v + 42 Combine like terms: -5v + 12v = 7v 9 + 7v = 4v + 42 Reorder the terms: 9 + 7v = 42 + 4v Solving 9 + 7v = 42 + 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. 9 + 7v + -4v = 42 + 4v + -4v Combine like terms: 7v + -4v = 3v 9 + 3v = 42 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + 3v = 42 + 0 9 + 3v = 42 Add '-9' to each side of the equation. 9 + -9 + 3v = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 42 + -9 3v = 42 + -9 Combine like terms: 42 + -9 = 33 3v = 33 Divide each side by '3'. v = 11 Simplifying v = 11
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