3q+101-4q-34=109

Solution for 3q+101-4q-34=109 equation:

Simplifying
3q + 101 + -4q + -34 = 109

Reorder the terms:
101 + -34 + 3q + -4q = 109

Combine like terms: 101 + -34 = 67
67 + 3q + -4q = 109

Combine like terms: 3q + -4q = -1q
67 + -1q = 109

Solving
67 + -1q = 109

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-67' to each side of the equation.
67 + -67 + -1q = 109 + -67

Combine like terms: 67 + -67 = 0
0 + -1q = 109 + -67
-1q = 109 + -67

Combine like terms: 109 + -67 = 42
-1q = 42

Divide each side by '-1'.
q = -42

Simplifying
q = -42