# Question #39d2b

Mar 23, 2017

$h = \frac{15}{2}$

#### Explanation:

Solve:

$15 h + 75 = 25 h$

Subtract $75$ from both sides.

$15 h + \cancel{75} - \cancel{75} = 25 h - 75$

$15 h = 25 h - 75$

Subtract $25 h$ from both sides.

$15 h - 25 h = \cancel{25} h - 75 - \cancel{25} h$

$- 10 h = - 75$

Divide both sides by $- 10$.

$\frac{- \cancel{10} h}{- \cancel{10}} = \frac{- 75}{-} 10$

A negative number divided by a negative number gives a positive result.

$h = \frac{75}{10}$

Both $75$ and $10$ are divisible by $5$.

$h = \frac{75 \div 5}{10 \div 5}$

$h = \frac{15}{2}$