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Simplifying 9(2n + 2) = 9(4n + 2) + 3 Reorder the terms: 9(2 + 2n) = 9(4n + 2) + 3 (2 * 9 + 2n * 9) = 9(4n + 2) + 3 (18 + 18n) = 9(4n + 2) + 3 Reorder the terms: 18 + 18n = 9(2 + 4n) + 3 18 + 18n = (2 * 9 + 4n * 9) + 3 18 + 18n = (18 + 36n) + 3 Reorder the terms: 18 + 18n = 18 + 3 + 36n Combine like terms: 18 + 3 = 21 18 + 18n = 21 + 36n Solving 18 + 18n = 21 + 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. 18 + 18n + -36n = 21 + 36n + -36n Combine like terms: 18n + -36n = -18n 18 + -18n = 21 + 36n + -36n Combine like terms: 36n + -36n = 0 18 + -18n = 21 + 0 18 + -18n = 21 Add '-18' to each side of the equation. 18 + -18 + -18n = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -18n = 21 + -18 -18n = 21 + -18 Combine like terms: 21 + -18 = 3 -18n = 3 Divide each side by '-18'. n = -0.1666666667 Simplifying n = -0.1666666667
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