Simplify (7j+1/8q+3)-(5/8q-11+2j)

$(7 j + \frac{1}{8} q + 3) - (\frac{5}{8} q - 11 + 2 j)$

Simplify each term.

Combine $\frac{1}{8}$ and $q$ .

$7 j + \frac{q}{8} + 3 - (\frac{5}{8} q - 11 + 2 j)$

Combine $\frac{5}{8}$ and $q$ .

$7 j + \frac{q}{8} + 3 - (\frac{5 q}{8} - 11 + 2 j)$

Apply the distributive property.

$7 j + \frac{q}{8} + 3 - \frac{5 q}{8} - - 11 - (2 j)$

Simplify.

Multiply $- 1$ by $- 11$ .

$7 j + \frac{q}{8} + 3 - \frac{5 q}{8} + 11 - (2 j)$

Multiply $2$ by $- 1$ .

$7 j + \frac{q}{8} + 3 - \frac{5 q}{8} + 11 - 2 j$

Simplify terms.

Combine the numerators over the common denominator.

$7 j + 3 + 11 - 2 j + \frac{q - 5 q}{8}$

Subtract $5 q$ from $q$ .

$7 j + 3 + 11 - 2 j + \frac{- 4 q}{8}$

Simplify each term.

Cancel the common factor of $- 4$ and $8$ .

Factor $4$ out of $- 4 q$ .

$7 j + 3 + 11 - 2 j + \frac{4 (- q)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$7 j + 3 + 11 - 2 j + \frac{4 (- q)}{4 (2)}$

Cancel the common factor.

$7 j + 3 + 11 - 2 j + \frac{4 (- q)}{4 \cdot 2}$

Rewrite the expression.

$7 j + 3 + 11 - 2 j + \frac{- q}{2}$

Move the negative in front of the fraction.

$7 j + 3 + 11 - 2 j - \frac{q}{2}$

Simplify by adding terms.

Subtract $2 j$ from $7 j$ .

$5 j + 3 + 11 - \frac{q}{2}$

Simplify the expression.

Add $3$ and $11$ .

$5 j + 14 - \frac{q}{2}$

Move $14$ .

$5 j - \frac{q}{2} + 14$