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Simplifying 81 = -3n + 7(n + 7) Reorder the terms: 81 = -3n + 7(7 + n) 81 = -3n + (7 * 7 + n * 7) 81 = -3n + (49 + 7n) Reorder the terms: 81 = 49 + -3n + 7n Combine like terms: -3n + 7n = 4n 81 = 49 + 4n Solving 81 = 49 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 81 + -4n = 49 + 4n + -4n Combine like terms: 4n + -4n = 0 81 + -4n = 49 + 0 81 + -4n = 49 Add '-81' to each side of the equation. 81 + -81 + -4n = 49 + -81 Combine like terms: 81 + -81 = 0 0 + -4n = 49 + -81 -4n = 49 + -81 Combine like terms: 49 + -81 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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