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Simplifying 8(1 + 3n) + -5 = -165 (1 * 8 + 3n * 8) + -5 = -165 (8 + 24n) + -5 = -165 Reorder the terms: 8 + -5 + 24n = -165 Combine like terms: 8 + -5 = 3 3 + 24n = -165 Solving 3 + 24n = -165 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 24n = -165 + -3 Combine like terms: 3 + -3 = 0 0 + 24n = -165 + -3 24n = -165 + -3 Combine like terms: -165 + -3 = -168 24n = -168 Divide each side by '24'. n = -7 Simplifying n = -7
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