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Simplifying 5n + 4 = 2n + 22 Reorder the terms: 4 + 5n = 2n + 22 Reorder the terms: 4 + 5n = 22 + 2n Solving 4 + 5n = 22 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + 5n + -2n = 22 + 2n + -2n Combine like terms: 5n + -2n = 3n 4 + 3n = 22 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 3n = 22 + 0 4 + 3n = 22 Add '-4' to each side of the equation. 4 + -4 + 3n = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 22 + -4 3n = 22 + -4 Combine like terms: 22 + -4 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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