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Simplifying 7(2n + 2) = 9(9n + 8) + 8 Reorder the terms: 7(2 + 2n) = 9(9n + 8) + 8 (2 * 7 + 2n * 7) = 9(9n + 8) + 8 (14 + 14n) = 9(9n + 8) + 8 Reorder the terms: 14 + 14n = 9(8 + 9n) + 8 14 + 14n = (8 * 9 + 9n * 9) + 8 14 + 14n = (72 + 81n) + 8 Reorder the terms: 14 + 14n = 72 + 8 + 81n Combine like terms: 72 + 8 = 80 14 + 14n = 80 + 81n Solving 14 + 14n = 80 + 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. 14 + 14n + -81n = 80 + 81n + -81n Combine like terms: 14n + -81n = -67n 14 + -67n = 80 + 81n + -81n Combine like terms: 81n + -81n = 0 14 + -67n = 80 + 0 14 + -67n = 80 Add '-14' to each side of the equation. 14 + -14 + -67n = 80 + -14 Combine like terms: 14 + -14 = 0 0 + -67n = 80 + -14 -67n = 80 + -14 Combine like terms: 80 + -14 = 66 -67n = 66 Divide each side by '-67'. n = -0.9850746269 Simplifying n = -0.9850746269
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