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Simplifying -5 + 12v + 9 = 4v + 42 Reorder the terms: -5 + 9 + 12v = 4v + 42 Combine like terms: -5 + 9 = 4 4 + 12v = 4v + 42 Reorder the terms: 4 + 12v = 42 + 4v Solving 4 + 12v = 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. 4 + 12v + -4v = 42 + 4v + -4v Combine like terms: 12v + -4v = 8v 4 + 8v = 42 + 4v + -4v Combine like terms: 4v + -4v = 0 4 + 8v = 42 + 0 4 + 8v = 42 Add '-4' to each side of the equation. 4 + -4 + 8v = 42 + -4 Combine like terms: 4 + -4 = 0 0 + 8v = 42 + -4 8v = 42 + -4 Combine like terms: 42 + -4 = 38 8v = 38 Divide each side by '8'. v = 4.75 Simplifying v = 4.75
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