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Simplifying 21 = 7(7 + 7n) + 4(4n + -7) 21 = (7 * 7 + 7n * 7) + 4(4n + -7) 21 = (49 + 49n) + 4(4n + -7) Reorder the terms: 21 = 49 + 49n + 4(-7 + 4n) 21 = 49 + 49n + (-7 * 4 + 4n * 4) 21 = 49 + 49n + (-28 + 16n) Reorder the terms: 21 = 49 + -28 + 49n + 16n Combine like terms: 49 + -28 = 21 21 = 21 + 49n + 16n Combine like terms: 49n + 16n = 65n 21 = 21 + 65n Add '-21' to each side of the equation. 21 + -21 = 21 + -21 + 65n Combine like terms: 21 + -21 = 0 0 = 21 + -21 + 65n Combine like terms: 21 + -21 = 0 0 = 0 + 65n 0 = 65n Solving 0 = 65n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-65n' to each side of the equation. 0 + -65n = 65n + -65n Remove the zero: -65n = 65n + -65n Combine like terms: 65n + -65n = 0 -65n = 0 Divide each side by '-65'. n = 0 Simplifying n = 0
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