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Simplifying 2(2n + 5) = 6(9n + 6) + 5 Reorder the terms: 2(5 + 2n) = 6(9n + 6) + 5 (5 * 2 + 2n * 2) = 6(9n + 6) + 5 (10 + 4n) = 6(9n + 6) + 5 Reorder the terms: 10 + 4n = 6(6 + 9n) + 5 10 + 4n = (6 * 6 + 9n * 6) + 5 10 + 4n = (36 + 54n) + 5 Reorder the terms: 10 + 4n = 36 + 5 + 54n Combine like terms: 36 + 5 = 41 10 + 4n = 41 + 54n Solving 10 + 4n = 41 + 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. 10 + 4n + -54n = 41 + 54n + -54n Combine like terms: 4n + -54n = -50n 10 + -50n = 41 + 54n + -54n Combine like terms: 54n + -54n = 0 10 + -50n = 41 + 0 10 + -50n = 41 Add '-10' to each side of the equation. 10 + -10 + -50n = 41 + -10 Combine like terms: 10 + -10 = 0 0 + -50n = 41 + -10 -50n = 41 + -10 Combine like terms: 41 + -10 = 31 -50n = 31 Divide each side by '-50'. n = -0.62 Simplifying n = -0.62
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