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Simplifying T(n) = T(n + -5) Multiply T * n nT = T(n + -5) Reorder the terms: nT = T(-5 + n) nT = (-5 * T + n * T) nT = (-5T + nT) Add '-1nT' to each side of the equation. nT + -1nT = -5T + nT + -1nT Combine like terms: nT + -1nT = 0 0 = -5T + nT + -1nT Combine like terms: nT + -1nT = 0 0 = -5T + 0 0 = -5T Solving 0 = -5T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '5T' to each side of the equation. 0 + 5T = -5T + 5T Remove the zero: 5T = -5T + 5T Combine like terms: -5T + 5T = 0 5T = 0 Divide each side by '5'. T = 0 Simplifying T = 0
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