Question 556075
We can multiply everything by 3 to clear out the fraction
4+2q=-5-1q-12
combine -5 and -12
4+2q=-17-q
add q to both sides
4+3q=-17
subtract 4 from both sides
3q=-21
divide by 3
q=-7

or to see it another way:
*[invoke explain_simplification " 4/3+(2/3)q=-5/3-(1/3)q-4"]