# How do you find a - 2b + 3c diminished by a - 2b - 3c + d?

Jun 19, 2015

$\left(a - 2 b + 3 c\right) - \left(a - 2 b - 3 c + d\right) = 6 c - d$

#### Explanation:

$\left(a - 2 b + 3 c\right) - \left(a - 2 b - 3 c + d\right)$

$= a - 2 b + 3 c - a + 2 b + 3 c - d$

$= a - a - 2 b + 2 b + 3 c + 3 c - d$

$= \left(1 - 1\right) a + \left(- 2 + 2\right) b + \left(3 + 3\right) c - d$

$= 6 c - d$