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Simplifying 2(2n + 2) = 9(9n + 2) + 1 Reorder the terms: 2(2 + 2n) = 9(9n + 2) + 1 (2 * 2 + 2n * 2) = 9(9n + 2) + 1 (4 + 4n) = 9(9n + 2) + 1 Reorder the terms: 4 + 4n = 9(2 + 9n) + 1 4 + 4n = (2 * 9 + 9n * 9) + 1 4 + 4n = (18 + 81n) + 1 Reorder the terms: 4 + 4n = 18 + 1 + 81n Combine like terms: 18 + 1 = 19 4 + 4n = 19 + 81n Solving 4 + 4n = 19 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 4 + 4n + -81n = 19 + 81n + -81n Combine like terms: 4n + -81n = -77n 4 + -77n = 19 + 81n + -81n Combine like terms: 81n + -81n = 0 4 + -77n = 19 + 0 4 + -77n = 19 Add '-4' to each side of the equation. 4 + -4 + -77n = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -77n = 19 + -4 -77n = 19 + -4 Combine like terms: 19 + -4 = 15 -77n = 15 Divide each side by '-77'. n = -0.1948051948 Simplifying n = -0.1948051948
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