Question

Absolute value of quantity 4a +6 = 4a - 10

Answer 1

You mean like this?
\(|4a+6|=4a-10\)

Answer 2

yes

Answer 3

Square both sides we have
\(16a^2+48a+36=16a^2-80a+100\)
\(48a+36=-80a+100\)
\(128a=64\)
\(a=1/2\)
But if we plug in that to the original equation the left side is not the same as the right side.
Thus this equation has no solution!.