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Simplifying 3(3n + 3) = 4(n + 1) Reorder the terms: 3(3 + 3n) = 4(n + 1) (3 * 3 + 3n * 3) = 4(n + 1) (9 + 9n) = 4(n + 1) Reorder the terms: 9 + 9n = 4(1 + n) 9 + 9n = (1 * 4 + n * 4) 9 + 9n = (4 + 4n) Solving 9 + 9n = 4 + 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 + 9n + -4n = 4 + 4n + -4n Combine like terms: 9n + -4n = 5n 9 + 5n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 9 + 5n = 4 + 0 9 + 5n = 4 Add '-9' to each side of the equation. 9 + -9 + 5n = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 5n = 4 + -9 5n = 4 + -9 Combine like terms: 4 + -9 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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