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Simplifying 6(8 + 8n) + 3(n + -8) = -27 (8 * 6 + 8n * 6) + 3(n + -8) = -27 (48 + 48n) + 3(n + -8) = -27 Reorder the terms: 48 + 48n + 3(-8 + n) = -27 48 + 48n + (-8 * 3 + n * 3) = -27 48 + 48n + (-24 + 3n) = -27 Reorder the terms: 48 + -24 + 48n + 3n = -27 Combine like terms: 48 + -24 = 24 24 + 48n + 3n = -27 Combine like terms: 48n + 3n = 51n 24 + 51n = -27 Solving 24 + 51n = -27 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 51n = -27 + -24 Combine like terms: 24 + -24 = 0 0 + 51n = -27 + -24 51n = -27 + -24 Combine like terms: -27 + -24 = -51 51n = -51 Divide each side by '51'. n = -1 Simplifying n = -1
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