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Simplifying T(n) = 7(4n) Multiply T * n nT = 7(4n) Remove parenthesis around (4n) nT = 7 * 4n Multiply 7 * 4 nT = 28n Solving nT = 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -28n + nT = 28n + -28n Combine like terms: 28n + -28n = 0 -28n + nT = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-28 + T) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-28 + T)' equal to zero and attempt to solve: Simplifying -28 + T = 0 Solving -28 + T = 0 Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + T = 0 + 28 Combine like terms: -28 + 28 = 0 0 + T = 0 + 28 T = 0 + 28 Combine like terms: 0 + 28 = 28 T = 28 Add '-1T' to each side of the equation. T + -1T = 28 + -1T Combine like terms: T + -1T = 0 0 = 28 + -1T Simplifying 0 = 28 + -1T The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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