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Simplifying 3(n + 4) + -11 = -5n + 9(n + 1) Reorder the terms: 3(4 + n) + -11 = -5n + 9(n + 1) (4 * 3 + n * 3) + -11 = -5n + 9(n + 1) (12 + 3n) + -11 = -5n + 9(n + 1) Reorder the terms: 12 + -11 + 3n = -5n + 9(n + 1) Combine like terms: 12 + -11 = 1 1 + 3n = -5n + 9(n + 1) Reorder the terms: 1 + 3n = -5n + 9(1 + n) 1 + 3n = -5n + (1 * 9 + n * 9) 1 + 3n = -5n + (9 + 9n) Reorder the terms: 1 + 3n = 9 + -5n + 9n Combine like terms: -5n + 9n = 4n 1 + 3n = 9 + 4n Solving 1 + 3n = 9 + 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. 1 + 3n + -4n = 9 + 4n + -4n Combine like terms: 3n + -4n = -1n 1 + -1n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -1n = 9 + 0 1 + -1n = 9 Add '-1' to each side of the equation. 1 + -1 + -1n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 9 + -1 -1n = 9 + -1 Combine like terms: 9 + -1 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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