Algebra Examples

$(3 p - 5 q - 6 r) + (2 p + 3 q - 2 r) + (- 12 p + 4 q + r)$

Step 1

Remove parentheses.

$3 p - 5 q - 6 r + 2 p + 3 q - 2 r - 12 p + 4 q + r$

Step 2

Add $3 p$ and $2 p$ .

$5 p - 5 q - 6 r + 3 q - 2 r - 12 p + 4 q + r$

Step 3

Subtract $12 p$ from $5 p$ .

$- 7 p - 5 q - 6 r + 3 q - 2 r + 4 q + r$

Step 4

Add $- 5 q$ and $3 q$ .

$- 7 p - 2 q - 6 r - 2 r + 4 q + r$

Step 5

Add $- 2 q$ and $4 q$ .

$- 7 p + 2 q - 6 r - 2 r + r$

Step 6

Subtract $2 r$ from $- 6 r$ .

$- 7 p + 2 q - 8 r + r$

Step 7

Add $- 8 r$ and $r$ .

$- 7 p + 2 q - 7 r$