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Simplifying 5n + 4 = 3n + 22 Reorder the terms: 4 + 5n = 3n + 22 Reorder the terms: 4 + 5n = 22 + 3n Solving 4 + 5n = 22 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 5n + -3n = 22 + 3n + -3n Combine like terms: 5n + -3n = 2n 4 + 2n = 22 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 2n = 22 + 0 4 + 2n = 22 Add '-4' to each side of the equation. 4 + -4 + 2n = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 22 + -4 2n = 22 + -4 Combine like terms: 22 + -4 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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