4(a+6)=6+a

Solution for 4(a+6)=6+a equation:

Simplifying
4(a + 6) = 6 + a

Reorder the terms:
4(6 + a) = 6 + a
(6 * 4 + a * 4) = 6 + a
(24 + 4a) = 6 + a

Solving
24 + 4a = 6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
24 + 4a + -1a = 6 + a + -1a

Combine like terms: 4a + -1a = 3a
24 + 3a = 6 + a + -1a

Combine like terms: a + -1a = 0
24 + 3a = 6 + 0
24 + 3a = 6

Add '-24' to each side of the equation.
24 + -24 + 3a = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 3a = 6 + -24
3a = 6 + -24

Combine like terms: 6 + -24 = -18
3a = -18

Divide each side by '3'.
a = -6

Simplifying
a = -6