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Simplifying 6(6 + -6n) = 6n + -6 (6 * 6 + -6n * 6) = 6n + -6 (36 + -36n) = 6n + -6 Reorder the terms: 36 + -36n = -6 + 6n Solving 36 + -36n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 36 + -36n + -6n = -6 + 6n + -6n Combine like terms: -36n + -6n = -42n 36 + -42n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 36 + -42n = -6 + 0 36 + -42n = -6 Add '-36' to each side of the equation. 36 + -36 + -42n = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -42n = -6 + -36 -42n = -6 + -36 Combine like terms: -6 + -36 = -42 -42n = -42 Divide each side by '-42'. n = 1 Simplifying n = 1
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