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Simplifying 3(1 + 8n) + -6 = -24 + 3n (1 * 3 + 8n * 3) + -6 = -24 + 3n (3 + 24n) + -6 = -24 + 3n Reorder the terms: 3 + -6 + 24n = -24 + 3n Combine like terms: 3 + -6 = -3 -3 + 24n = -24 + 3n Solving -3 + 24n = -24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -3 + 24n + -3n = -24 + 3n + -3n Combine like terms: 24n + -3n = 21n -3 + 21n = -24 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + 21n = -24 + 0 -3 + 21n = -24 Add '3' to each side of the equation. -3 + 3 + 21n = -24 + 3 Combine like terms: -3 + 3 = 0 0 + 21n = -24 + 3 21n = -24 + 3 Combine like terms: -24 + 3 = -21 21n = -21 Divide each side by '21'. n = -1 Simplifying n = -1
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