Simplify (4q-5r+7p)-(7r-2q+3p)

$(4 q - 5 r + 7 p) - (7 r - 2 q + 3 p)$

Step 1

Simplify each term.

Apply the distributive property.

$4 q - 5 r + 7 p - (7 r) - (- 2 q) - (3 p)$

Simplify.

Multiply $7$ by $- 1$ .

$4 q - 5 r + 7 p - 7 r - (- 2 q) - (3 p)$

Multiply $- 2$ by $- 1$ .

$4 q - 5 r + 7 p - 7 r + 2 q - (3 p)$

Multiply $3$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

Add $4 q$ and $2 q$ .

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

Subtract $7 r$ from $- 5 r$ .

$6 q + 7 p - 12 r - 3 p$

Subtract $3 p$ from $7 p$ .

$6 q + 4 p - 12 r$

Reorder $6 q$ and $4 p$ .

$4 p + 6 q - 12 r$

$4 p + 6 q - 12 r$

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