9a+6=1-a

Solution for 9a+6=1-a equation:

Simplifying
9a + 6 = 1 + -1a

Reorder the terms:
6 + 9a = 1 + -1a

Solving
6 + 9a = 1 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + 9a + a = 1 + -1a + a

Combine like terms: 9a + a = 10a
6 + 10a = 1 + -1a + a

Combine like terms: -1a + a = 0
6 + 10a = 1 + 0
6 + 10a = 1

Add '-6' to each side of the equation.
6 + -6 + 10a = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 10a = 1 + -6
10a = 1 + -6

Combine like terms: 1 + -6 = -5
10a = -5

Divide each side by '10'.
a = -0.5

Simplifying
a = -0.5