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Simplifying 4v + 38 = 5v + 20 Reorder the terms: 38 + 4v = 5v + 20 Reorder the terms: 38 + 4v = 20 + 5v Solving 38 + 4v = 20 + 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. 38 + 4v + -5v = 20 + 5v + -5v Combine like terms: 4v + -5v = -1v 38 + -1v = 20 + 5v + -5v Combine like terms: 5v + -5v = 0 38 + -1v = 20 + 0 38 + -1v = 20 Add '-38' to each side of the equation. 38 + -38 + -1v = 20 + -38 Combine like terms: 38 + -38 = 0 0 + -1v = 20 + -38 -1v = 20 + -38 Combine like terms: 20 + -38 = -18 -1v = -18 Divide each side by '-1'. v = 18 Simplifying v = 18
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