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Simplifying 2(2n + 4) = 9(5n + 8) + 2 Reorder the terms: 2(4 + 2n) = 9(5n + 8) + 2 (4 * 2 + 2n * 2) = 9(5n + 8) + 2 (8 + 4n) = 9(5n + 8) + 2 Reorder the terms: 8 + 4n = 9(8 + 5n) + 2 8 + 4n = (8 * 9 + 5n * 9) + 2 8 + 4n = (72 + 45n) + 2 Reorder the terms: 8 + 4n = 72 + 2 + 45n Combine like terms: 72 + 2 = 74 8 + 4n = 74 + 45n Solving 8 + 4n = 74 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 8 + 4n + -45n = 74 + 45n + -45n Combine like terms: 4n + -45n = -41n 8 + -41n = 74 + 45n + -45n Combine like terms: 45n + -45n = 0 8 + -41n = 74 + 0 8 + -41n = 74 Add '-8' to each side of the equation. 8 + -8 + -41n = 74 + -8 Combine like terms: 8 + -8 = 0 0 + -41n = 74 + -8 -41n = 74 + -8 Combine like terms: 74 + -8 = 66 -41n = 66 Divide each side by '-41'. n = -1.609756098 Simplifying n = -1.609756098
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