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Simplifying 9x(9 + n) = 243 (9 * 9x + n * 9x) = 243 Reorder the terms: (9nx + 81x) = 243 (9nx + 81x) = 243 Solving 9nx + 81x = 243 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81x' to each side of the equation. 9nx + 81x + -81x = 243 + -81x Combine like terms: 81x + -81x = 0 9nx + 0 = 243 + -81x 9nx = 243 + -81x Divide each side by '9x'. n = 27x-1 + -9 Simplifying n = 27x-1 + -9 Reorder the terms: n = -9 + 27x-1
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