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Simplifying 5n + 16 = 4n + 21 Reorder the terms: 16 + 5n = 4n + 21 Reorder the terms: 16 + 5n = 21 + 4n Solving 16 + 5n = 21 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 16 + 5n + -4n = 21 + 4n + -4n Combine like terms: 5n + -4n = 1n 16 + 1n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 16 + 1n = 21 + 0 16 + 1n = 21 Add '-16' to each side of the equation. 16 + -16 + 1n = 21 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 21 + -16 1n = 21 + -16 Combine like terms: 21 + -16 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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