6-3(a-1)=1+a

Solution for 6-3(a-1)=1+a equation:

Simplifying
6 + -3(a + -1) = 1 + a

Reorder the terms:
6 + -3(-1 + a) = 1 + a
6 + (-1 * -3 + a * -3) = 1 + a
6 + (3 + -3a) = 1 + a

Combine like terms: 6 + 3 = 9
9 + -3a = 1 + a

Solving
9 + -3a = 1 + 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.
9 + -3a + -1a = 1 + a + -1a

Combine like terms: -3a + -1a = -4a
9 + -4a = 1 + a + -1a

Combine like terms: a + -1a = 0
9 + -4a = 1 + 0
9 + -4a = 1

Add '-9' to each side of the equation.
9 + -9 + -4a = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -4a = 1 + -9
-4a = 1 + -9

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

Divide each side by '-4'.
a = 2

Simplifying
a = 2