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Simplifying 3(9 + -3n + -4n) + 8(3n + 4) = 11 Combine like terms: -3n + -4n = -7n 3(9 + -7n) + 8(3n + 4) = 11 (9 * 3 + -7n * 3) + 8(3n + 4) = 11 (27 + -21n) + 8(3n + 4) = 11 Reorder the terms: 27 + -21n + 8(4 + 3n) = 11 27 + -21n + (4 * 8 + 3n * 8) = 11 27 + -21n + (32 + 24n) = 11 Reorder the terms: 27 + 32 + -21n + 24n = 11 Combine like terms: 27 + 32 = 59 59 + -21n + 24n = 11 Combine like terms: -21n + 24n = 3n 59 + 3n = 11 Solving 59 + 3n = 11 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 3n = 11 + -59 Combine like terms: 59 + -59 = 0 0 + 3n = 11 + -59 3n = 11 + -59 Combine like terms: 11 + -59 = -48 3n = -48 Divide each side by '3'. n = -16 Simplifying n = -16
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