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Simplifying 512 = -6(5 + 6n) + -5n 512 = (5 * -6 + 6n * -6) + -5n 512 = (-30 + -36n) + -5n Combine like terms: -36n + -5n = -41n 512 = -30 + -41n Solving 512 = -30 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 512 + 41n = -30 + -41n + 41n Combine like terms: -41n + 41n = 0 512 + 41n = -30 + 0 512 + 41n = -30 Add '-512' to each side of the equation. 512 + -512 + 41n = -30 + -512 Combine like terms: 512 + -512 = 0 0 + 41n = -30 + -512 41n = -30 + -512 Combine like terms: -30 + -512 = -542 41n = -542 Divide each side by '41'. n = -13.2195122 Simplifying n = -13.2195122
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