7-3(a-1)=6+a

Solution for 7-3(a-1)=6+a equation:

Simplifying
7 + -3(a + -1) = 6 + a

Reorder the terms:
7 + -3(-1 + a) = 6 + a
7 + (-1 * -3 + a * -3) = 6 + a
7 + (3 + -3a) = 6 + a

Combine like terms: 7 + 3 = 10
10 + -3a = 6 + a

Solving
10 + -3a = 6 + 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.
10 + -3a + -1a = 6 + a + -1a

Combine like terms: -3a + -1a = -4a
10 + -4a = 6 + a + -1a

Combine like terms: a + -1a = 0
10 + -4a = 6 + 0
10 + -4a = 6

Add '-10' to each side of the equation.
10 + -10 + -4a = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -4a = 6 + -10
-4a = 6 + -10

Combine like terms: 6 + -10 = -4
-4a = -4

Divide each side by '-4'.
a = 1

Simplifying
a = 1