Solve for t h(35)=50-t/5

$h (35) = 50 - \frac{t}{5}$

Step 1

Rewrite the equation as $50 - \frac{t}{5} = h (35)$ .

$50 - \frac{t}{5} = h (35)$

Step 2

Move $35$ to the left of $h$ .

$50 - \frac{t}{5} = 35 h$

Step 3

Subtract $50$ from both sides of the equation.

$- \frac{t}{5} = 35 h - 50$

Step 4

Multiply both sides of the equation by $- 5$ .

$- 5 (- \frac{t}{5}) = - 5 (35 h - 50)$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 5 (- \frac{t}{5})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{t}{5}$ into the numerator.

$- 5 \frac{- t}{5} = - 5 (35 h - 50)$

Factor $5$ out of $- 5$ .

$5 (- 1) \frac{- t}{5} = - 5 (35 h - 50)$

Cancel the common factor.

$5 \cdot - 1 \frac{- t}{5} = - 5 (35 h - 50)$

Rewrite the expression.

$- - t = - 5 (35 h - 50)$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 t = - 5 (35 h - 50)$

Multiply $t$ by $1$ .

$t = - 5 (35 h - 50)$

Simplify the right side.

Simplify $- 5 (35 h - 50)$ .

Apply the distributive property.

$t = - 5 (35 h) - 5 \cdot - 50$

Multiply.

Multiply $35$ by $- 5$ .

$t = - 175 h - 5 \cdot - 50$

Multiply $- 5$ by $- 50$ .

$t = - 175 h + 250$