-6(a-5)+4a=1-(1-a)

Solution for -6(a-5)+4a=1-(1-a) equation:

Simplifying
-6(a + -5) + 4a = 1 + -1(1 + -1a)

Reorder the terms:
-6(-5 + a) + 4a = 1 + -1(1 + -1a)
(-5 * -6 + a * -6) + 4a = 1 + -1(1 + -1a)
(30 + -6a) + 4a = 1 + -1(1 + -1a)

Combine like terms: -6a + 4a = -2a
30 + -2a = 1 + -1(1 + -1a)
30 + -2a = 1 + (1 * -1 + -1a * -1)
30 + -2a = 1 + (-1 + 1a)

Combine like terms: 1 + -1 = 0
30 + -2a = 0 + 1a
30 + -2a = 1a

Solving
30 + -2a = 1a

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.
30 + -2a + -1a = 1a + -1a

Combine like terms: -2a + -1a = -3a
30 + -3a = 1a + -1a

Combine like terms: 1a + -1a = 0
30 + -3a = 0

Add '-30' to each side of the equation.
30 + -30 + -3a = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -3a = 0 + -30
-3a = 0 + -30

Combine like terms: 0 + -30 = -30
-3a = -30

Divide each side by '-3'.
a = 10

Simplifying
a = 10