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Simplifying 4n + 12 + 3(n + 6) = 4n + 5 Reorder the terms: 4n + 12 + 3(6 + n) = 4n + 5 4n + 12 + (6 * 3 + n * 3) = 4n + 5 4n + 12 + (18 + 3n) = 4n + 5 Reorder the terms: 12 + 18 + 4n + 3n = 4n + 5 Combine like terms: 12 + 18 = 30 30 + 4n + 3n = 4n + 5 Combine like terms: 4n + 3n = 7n 30 + 7n = 4n + 5 Reorder the terms: 30 + 7n = 5 + 4n Solving 30 + 7n = 5 + 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. 30 + 7n + -4n = 5 + 4n + -4n Combine like terms: 7n + -4n = 3n 30 + 3n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 30 + 3n = 5 + 0 30 + 3n = 5 Add '-30' to each side of the equation. 30 + -30 + 3n = 5 + -30 Combine like terms: 30 + -30 = 0 0 + 3n = 5 + -30 3n = 5 + -30 Combine like terms: 5 + -30 = -25 3n = -25 Divide each side by '3'. n = -8.333333333 Simplifying n = -8.333333333
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