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Simplifying 3(n + 3) = 1 + 4n Reorder the terms: 3(3 + n) = 1 + 4n (3 * 3 + n * 3) = 1 + 4n (9 + 3n) = 1 + 4n Solving 9 + 3n = 1 + 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. 9 + 3n + -4n = 1 + 4n + -4n Combine like terms: 3n + -4n = -1n 9 + -1n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 9 + -1n = 1 + 0 9 + -1n = 1 Add '-9' to each side of the equation. 9 + -9 + -1n = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 1 + -9 -1n = 1 + -9 Combine like terms: 1 + -9 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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