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Simplifying -5(7n + -6) = -24 + -8n Reorder the terms: -5(-6 + 7n) = -24 + -8n (-6 * -5 + 7n * -5) = -24 + -8n (30 + -35n) = -24 + -8n Solving 30 + -35n = -24 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 30 + -35n + 8n = -24 + -8n + 8n Combine like terms: -35n + 8n = -27n 30 + -27n = -24 + -8n + 8n Combine like terms: -8n + 8n = 0 30 + -27n = -24 + 0 30 + -27n = -24 Add '-30' to each side of the equation. 30 + -30 + -27n = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -27n = -24 + -30 -27n = -24 + -30 Combine like terms: -24 + -30 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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