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Simplifying -72 = 6(6n + 6) Reorder the terms: -72 = 6(6 + 6n) -72 = (6 * 6 + 6n * 6) -72 = (36 + 36n) Solving -72 = 36 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -72 + -36n = 36 + 36n + -36n Combine like terms: 36n + -36n = 0 -72 + -36n = 36 + 0 -72 + -36n = 36 Add '72' to each side of the equation. -72 + 72 + -36n = 36 + 72 Combine like terms: -72 + 72 = 0 0 + -36n = 36 + 72 -36n = 36 + 72 Combine like terms: 36 + 72 = 108 -36n = 108 Divide each side by '-36'. n = -3 Simplifying n = -3
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