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Simplifying 8(2n + 4) = 9(9n + 5) + 5 Reorder the terms: 8(4 + 2n) = 9(9n + 5) + 5 (4 * 8 + 2n * 8) = 9(9n + 5) + 5 (32 + 16n) = 9(9n + 5) + 5 Reorder the terms: 32 + 16n = 9(5 + 9n) + 5 32 + 16n = (5 * 9 + 9n * 9) + 5 32 + 16n = (45 + 81n) + 5 Reorder the terms: 32 + 16n = 45 + 5 + 81n Combine like terms: 45 + 5 = 50 32 + 16n = 50 + 81n Solving 32 + 16n = 50 + 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. 32 + 16n + -81n = 50 + 81n + -81n Combine like terms: 16n + -81n = -65n 32 + -65n = 50 + 81n + -81n Combine like terms: 81n + -81n = 0 32 + -65n = 50 + 0 32 + -65n = 50 Add '-32' to each side of the equation. 32 + -32 + -65n = 50 + -32 Combine like terms: 32 + -32 = 0 0 + -65n = 50 + -32 -65n = 50 + -32 Combine like terms: 50 + -32 = 18 -65n = 18 Divide each side by '-65'. n = -0.2769230769 Simplifying n = -0.2769230769
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