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Simplifying 4n + 1 = 12 + 5n Reorder the terms: 1 + 4n = 12 + 5n Solving 1 + 4n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + 4n + -5n = 12 + 5n + -5n Combine like terms: 4n + -5n = -1n 1 + -1n = 12 + 5n + -5n Combine like terms: 5n + -5n = 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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