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Simplifying 6(1 + -6n) + 6 = -24 (1 * 6 + -6n * 6) + 6 = -24 (6 + -36n) + 6 = -24 Reorder the terms: 6 + 6 + -36n = -24 Combine like terms: 6 + 6 = 12 12 + -36n = -24 Solving 12 + -36n = -24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -36n = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -36n = -24 + -12 -36n = -24 + -12 Combine like terms: -24 + -12 = -36 -36n = -36 Divide each side by '-36'. n = 1 Simplifying n = 1
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