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Solve for t
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Solve for I
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I\left(t+1\right)=t
Variable t cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by t+1.
It+I=t
Use the distributive property to multiply I by t+1.
It+I-t=0
Subtract t from both sides.
It-t=-I
Subtract I from both sides. Anything subtracted from zero gives its negation.
\left(I-1\right)t=-I
Combine all terms containing t.
\frac{\left(I-1\right)t}{I-1}=-\frac{I}{I-1}
Divide both sides by I-1.
t=-\frac{I}{I-1}
Dividing by I-1 undoes the multiplication by I-1.
t=-\frac{I}{I-1}\text{, }t\neq -1
Variable t cannot be equal to -1.