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Simplifying 4n + 1 = 12 + 3n Reorder the terms: 1 + 4n = 12 + 3n Solving 1 + 4n = 12 + 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. 1 + 4n + -3n = 12 + 3n + -3n Combine like terms: 4n + -3n = 1n 1 + 1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 1n = 12 + 0 1 + 1n = 12 Add '-1' to each side of the equation. 1 + -1 + 1n = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1n = 12 + -1 1n = 12 + -1 Combine like terms: 12 + -1 = 11 1n = 11 Divide each side by '1'. n = 11 Simplifying n = 11
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