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Simplifying v + 4 = -4v + 49 Reorder the terms: 4 + v = -4v + 49 Reorder the terms: 4 + v = 49 + -4v Solving 4 + v = 49 + -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 + v + 4v = 49 + -4v + 4v Combine like terms: v + 4v = 5v 4 + 5v = 49 + -4v + 4v Combine like terms: -4v + 4v = 0 4 + 5v = 49 + 0 4 + 5v = 49 Add '-4' to each side of the equation. 4 + -4 + 5v = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 5v = 49 + -4 5v = 49 + -4 Combine like terms: 49 + -4 = 45 5v = 45 Divide each side by '5'. v = 9 Simplifying v = 9
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