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Simplifying 2(2n + 1) = 9(6n + 1) + 1 Reorder the terms: 2(1 + 2n) = 9(6n + 1) + 1 (1 * 2 + 2n * 2) = 9(6n + 1) + 1 (2 + 4n) = 9(6n + 1) + 1 Reorder the terms: 2 + 4n = 9(1 + 6n) + 1 2 + 4n = (1 * 9 + 6n * 9) + 1 2 + 4n = (9 + 54n) + 1 Reorder the terms: 2 + 4n = 9 + 1 + 54n Combine like terms: 9 + 1 = 10 2 + 4n = 10 + 54n Solving 2 + 4n = 10 + 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. 2 + 4n + -54n = 10 + 54n + -54n Combine like terms: 4n + -54n = -50n 2 + -50n = 10 + 54n + -54n Combine like terms: 54n + -54n = 0 2 + -50n = 10 + 0 2 + -50n = 10 Add '-2' to each side of the equation. 2 + -2 + -50n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -50n = 10 + -2 -50n = 10 + -2 Combine like terms: 10 + -2 = 8 -50n = 8 Divide each side by '-50'. n = -0.16 Simplifying n = -0.16
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