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Simplifying 25 + 5n = 4n + 7(n + 7) Reorder the terms: 25 + 5n = 4n + 7(7 + n) 25 + 5n = 4n + (7 * 7 + n * 7) 25 + 5n = 4n + (49 + 7n) Reorder the terms: 25 + 5n = 49 + 4n + 7n Combine like terms: 4n + 7n = 11n 25 + 5n = 49 + 11n Solving 25 + 5n = 49 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 25 + 5n + -11n = 49 + 11n + -11n Combine like terms: 5n + -11n = -6n 25 + -6n = 49 + 11n + -11n Combine like terms: 11n + -11n = 0 25 + -6n = 49 + 0 25 + -6n = 49 Add '-25' to each side of the equation. 25 + -25 + -6n = 49 + -25 Combine like terms: 25 + -25 = 0 0 + -6n = 49 + -25 -6n = 49 + -25 Combine like terms: 49 + -25 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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