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Simplifying 4v + 2 = 5v + -9 Reorder the terms: 2 + 4v = 5v + -9 Reorder the terms: 2 + 4v = -9 + 5v Solving 2 + 4v = -9 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 2 + 4v + -5v = -9 + 5v + -5v Combine like terms: 4v + -5v = -1v 2 + -1v = -9 + 5v + -5v Combine like terms: 5v + -5v = 0 2 + -1v = -9 + 0 2 + -1v = -9 Add '-2' to each side of the equation. 2 + -2 + -1v = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = -9 + -2 -1v = -9 + -2 Combine like terms: -9 + -2 = -11 -1v = -11 Divide each side by '-1'. v = 11 Simplifying v = 11
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