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Simplifying -3(5 + -8n) = 6 + 3n (5 * -3 + -8n * -3) = 6 + 3n (-15 + 24n) = 6 + 3n Solving -15 + 24n = 6 + 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. -15 + 24n + -3n = 6 + 3n + -3n Combine like terms: 24n + -3n = 21n -15 + 21n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 21n = 6 + 0 -15 + 21n = 6 Add '15' to each side of the equation. -15 + 15 + 21n = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 21n = 6 + 15 21n = 6 + 15 Combine like terms: 6 + 15 = 21 21n = 21 Divide each side by '21'. n = 1 Simplifying n = 1
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