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n=0.96\left(n+1\right)
Variable n cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by n+1.
n=0.96n+0.96
Use the distributive property to multiply 0.96 by n+1.
n-0.96n=0.96
Subtract 0.96n from both sides.
0.04n=0.96
Combine n and -0.96n to get 0.04n.
n=\frac{0.96}{0.04}
Divide both sides by 0.04.
n=\frac{96}{4}
Expand \frac{0.96}{0.04} by multiplying both numerator and the denominator by 100.
n=24
Divide 96 by 4 to get 24.