a-6=8(9+a)

Solution for a-6=8(9+a) equation:

Simplifying
a + -6 = 8(9 + a)

Reorder the terms:
-6 + a = 8(9 + a)
-6 + a = (9 * 8 + a * 8)
-6 + a = (72 + 8a)

Solving
-6 + a = 72 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-6 + a + -8a = 72 + 8a + -8a

Combine like terms: a + -8a = -7a
-6 + -7a = 72 + 8a + -8a

Combine like terms: 8a + -8a = 0
-6 + -7a = 72 + 0
-6 + -7a = 72

Add '6' to each side of the equation.
-6 + 6 + -7a = 72 + 6

Combine like terms: -6 + 6 = 0
0 + -7a = 72 + 6
-7a = 72 + 6

Combine like terms: 72 + 6 = 78
-7a = 78

Divide each side by '-7'.
a = -11.14285714

Simplifying
a = -11.14285714