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Simplifying -6(-6 + 6n) = 3(-6n + 18) (-6 * -6 + 6n * -6) = 3(-6n + 18) (36 + -36n) = 3(-6n + 18) Reorder the terms: 36 + -36n = 3(18 + -6n) 36 + -36n = (18 * 3 + -6n * 3) 36 + -36n = (54 + -18n) Solving 36 + -36n = 54 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 36 + -36n + 18n = 54 + -18n + 18n Combine like terms: -36n + 18n = -18n 36 + -18n = 54 + -18n + 18n Combine like terms: -18n + 18n = 0 36 + -18n = 54 + 0 36 + -18n = 54 Add '-36' to each side of the equation. 36 + -36 + -18n = 54 + -36 Combine like terms: 36 + -36 = 0 0 + -18n = 54 + -36 -18n = 54 + -36 Combine like terms: 54 + -36 = 18 -18n = 18 Divide each side by '-18'. n = -1 Simplifying n = -1
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