a+6=6a+42-8

Solution for a+6=6a+42-8 equation:

Simplifying
a + 6 = 6a + 42 + -8

Reorder the terms:
6 + a = 6a + 42 + -8

Reorder the terms:
6 + a = 42 + -8 + 6a

Combine like terms: 42 + -8 = 34
6 + a = 34 + 6a

Solving
6 + a = 34 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + a + -6a = 34 + 6a + -6a

Combine like terms: a + -6a = -5a
6 + -5a = 34 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -5a = 34 + 0
6 + -5a = 34

Add '-6' to each side of the equation.
6 + -6 + -5a = 34 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = 34 + -6
-5a = 34 + -6

Combine like terms: 34 + -6 = 28
-5a = 28

Divide each side by '-5'.
a = -5.6

Simplifying
a = -5.6