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Simplifying 2(2n + 4) = 6(9n + 2) + 1 Reorder the terms: 2(4 + 2n) = 6(9n + 2) + 1 (4 * 2 + 2n * 2) = 6(9n + 2) + 1 (8 + 4n) = 6(9n + 2) + 1 Reorder the terms: 8 + 4n = 6(2 + 9n) + 1 8 + 4n = (2 * 6 + 9n * 6) + 1 8 + 4n = (12 + 54n) + 1 Reorder the terms: 8 + 4n = 12 + 1 + 54n Combine like terms: 12 + 1 = 13 8 + 4n = 13 + 54n Solving 8 + 4n = 13 + 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. 8 + 4n + -54n = 13 + 54n + -54n Combine like terms: 4n + -54n = -50n 8 + -50n = 13 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -50n = 13 + 0 8 + -50n = 13 Add '-8' to each side of the equation. 8 + -8 + -50n = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -50n = 13 + -8 -50n = 13 + -8 Combine like terms: 13 + -8 = 5 -50n = 5 Divide each side by '-50'. n = -0.1 Simplifying n = -0.1
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