Solve for q q-q+17q-4q+16q=29

$q - q + 17 q - 4 q + 16 q = 29$

Step 1

Simplify $q - q + 17 q - 4 q + 16 q$ .

Subtract $q$ from $q$ .

$0 + 17 q - 4 q + 16 q = 29$

Add $0$ and $17 q$ .

$17 q - 4 q + 16 q = 29$

Subtract $4 q$ from $17 q$ .

$13 q + 16 q = 29$

Add $13 q$ and $16 q$ .

$29 q = 29$

Step 2

Divide each term in $29 q = 29$ by $29$ and simplify.

Divide each term in $29 q = 29$ by $29$ .

$\frac{29 q}{29} = \frac{29}{29}$

Simplify the left side.

Cancel the common factor of $29$ .

Cancel the common factor.

$\frac{29 q}{29} = \frac{29}{29}$

Divide $q$ by $1$ .

$q = \frac{29}{29}$

Simplify the right side.

Divide $29$ by $29$ .

$q = 1$