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Simplifying 6(3n + 3) = 6(9n + 3) + 3 Reorder the terms: 6(3 + 3n) = 6(9n + 3) + 3 (3 * 6 + 3n * 6) = 6(9n + 3) + 3 (18 + 18n) = 6(9n + 3) + 3 Reorder the terms: 18 + 18n = 6(3 + 9n) + 3 18 + 18n = (3 * 6 + 9n * 6) + 3 18 + 18n = (18 + 54n) + 3 Reorder the terms: 18 + 18n = 18 + 3 + 54n Combine like terms: 18 + 3 = 21 18 + 18n = 21 + 54n Solving 18 + 18n = 21 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 18 + 18n + -54n = 21 + 54n + -54n Combine like terms: 18n + -54n = -36n 18 + -36n = 21 + 54n + -54n Combine like terms: 54n + -54n = 0 18 + -36n = 21 + 0 18 + -36n = 21 Add '-18' to each side of the equation. 18 + -18 + -36n = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -36n = 21 + -18 -36n = 21 + -18 Combine like terms: 21 + -18 = 3 -36n = 3 Divide each side by '-36'. n = -0.08333333333 Simplifying n = -0.08333333333
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