Solve for a T+a/N=F

$T + \frac{a}{N} = F$

Subtract $T$ from both sides of the equation.

$\frac{a}{N} = F - T$

Multiply both sides by $N$ .

$\frac{a}{N} N = (F - T) N$

Simplify.

Simplify the left side.

Cancel the common factor of $N$ .

Cancel the common factor.

$\frac{a}{N} N = (F - T) N$

Rewrite the expression.

$a = (F - T) N$

$a = (F - T) N$

$a = (F - T) N$

Simplify the right side.

Simplify $(F - T) N$ .

Apply the distributive property.

$a = F N - T N$

Move $T$ .

$a = F N - 1 N T$

$a = F N - 1 N T$

$a = F N - 1 N T$

$a = F N - 1 N T$

Rewrite $- 1 N$ as $- N$ .

$a = F N - N T$

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