4a-6=8-(9+a)

Solution for 4a-6=8-(9+a) equation:

Simplifying
4a + -6 = 8 + -1(9 + a)

Reorder the terms:
-6 + 4a = 8 + -1(9 + a)
-6 + 4a = 8 + (9 * -1 + a * -1)
-6 + 4a = 8 + (-9 + -1a)

Combine like terms: 8 + -9 = -1
-6 + 4a = -1 + -1a

Solving
-6 + 4a = -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 + 4a + a = -1 + -1a + a

Combine like terms: 4a + a = 5a
-6 + 5a = -1 + -1a + a

Combine like terms: -1a + a = 0
-6 + 5a = -1 + 0
-6 + 5a = -1

Add '6' to each side of the equation.
-6 + 6 + 5a = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 5a = -1 + 6
5a = -1 + 6

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

Divide each side by '5'.
a = 1

Simplifying
a = 1