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Simplifying 7n + 6 = 4n + 27 Reorder the terms: 6 + 7n = 4n + 27 Reorder the terms: 6 + 7n = 27 + 4n Solving 6 + 7n = 27 + 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. 6 + 7n + -4n = 27 + 4n + -4n Combine like terms: 7n + -4n = 3n 6 + 3n = 27 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 3n = 27 + 0 6 + 3n = 27 Add '-6' to each side of the equation. 6 + -6 + 3n = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 27 + -6 3n = 27 + -6 Combine like terms: 27 + -6 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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