Solve for N T=50+(N-40)/4

$T = 50 + \frac{N - 40}{4}$

Step 1

Rewrite the equation as $50 + \frac{N - 40}{4} = T$ .

$50 + \frac{N - 40}{4} = T$

Step 2

Simplify $50 + \frac{N - 40}{4}$ .

To write $50$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$50 \cdot \frac{4}{4} + \frac{N - 40}{4} = T$

Simplify terms.

Combine $50$ and $\frac{4}{4}$ .

$\frac{50 \cdot 4}{4} + \frac{N - 40}{4} = T$

Combine the numerators over the common denominator.

$\frac{50 \cdot 4 + N - 40}{4} = T$

Simplify the numerator.

Multiply $50$ by $4$ .

$\frac{200 + N - 40}{4} = T$

Subtract $40$ from $200$ .

$\frac{N + 160}{4} = T$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{N + 160}{4} = 4 T$

Step 4

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{N + 160}{4} = 4 T$

Rewrite the expression.

$N + 160 = 4 T$

Step 5

Subtract $160$ from both sides of the equation.

$N = 4 T - 160$