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Simplifying 4n + 16 = 3n + 38 Reorder the terms: 16 + 4n = 3n + 38 Reorder the terms: 16 + 4n = 38 + 3n Solving 16 + 4n = 38 + 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. 16 + 4n + -3n = 38 + 3n + -3n Combine like terms: 4n + -3n = 1n 16 + 1n = 38 + 3n + -3n Combine like terms: 3n + -3n = 0 16 + 1n = 38 + 0 16 + 1n = 38 Add '-16' to each side of the equation. 16 + -16 + 1n = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 38 + -16 1n = 38 + -16 Combine like terms: 38 + -16 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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