Question

-6q+5.8=23.8
a. q=3
b. q=-3
c. q=-1.83
d. q= 4.93

Answer 1

-6q+5.8=23.8
      -5.8     -5.8
-6q=18
/-6   /-6
q=-3

Answer 2

$-6q+5.8=23.8\ \ \ |subtract\ 5.8\ from\ both\ sides\\\\-6q+5.8-5.8=23.8-5.8\\\\-6q=18\ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\-6q:(-6)=18:(-6)\\\\\huge\boxed{q=-3}\leftarrow\boxed{answer\ b}$

$check:\\subtitute\ the\ value\ of\ the\ "q"\ to\ the\ left\ ides\ of\ the\ equation\\\\L=-6(-3)+5.8=18+5.8=23.8=R\ \ \ correct\ :)$