-1(a-1)-3(a-2)=6+2(a-1)

Solution for -1(a-1)-3(a-2)=6+2(a-1) equation:

Simplifying
-1(a + -1) + -3(a + -2) = 6 + 2(a + -1)

Reorder the terms:
-1(-1 + a) + -3(a + -2) = 6 + 2(a + -1)
(-1 * -1 + a * -1) + -3(a + -2) = 6 + 2(a + -1)
(1 + -1a) + -3(a + -2) = 6 + 2(a + -1)

Reorder the terms:
1 + -1a + -3(-2 + a) = 6 + 2(a + -1)
1 + -1a + (-2 * -3 + a * -3) = 6 + 2(a + -1)
1 + -1a + (6 + -3a) = 6 + 2(a + -1)

Reorder the terms:
1 + 6 + -1a + -3a = 6 + 2(a + -1)

Combine like terms: 1 + 6 = 7
7 + -1a + -3a = 6 + 2(a + -1)

Combine like terms: -1a + -3a = -4a
7 + -4a = 6 + 2(a + -1)

Reorder the terms:
7 + -4a = 6 + 2(-1 + a)
7 + -4a = 6 + (-1 * 2 + a * 2)
7 + -4a = 6 + (-2 + 2a)

Combine like terms: 6 + -2 = 4
7 + -4a = 4 + 2a

Solving
7 + -4a = 4 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
7 + -4a + -2a = 4 + 2a + -2a

Combine like terms: -4a + -2a = -6a
7 + -6a = 4 + 2a + -2a

Combine like terms: 2a + -2a = 0
7 + -6a = 4 + 0
7 + -6a = 4

Add '-7' to each side of the equation.
7 + -7 + -6a = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -6a = 4 + -7
-6a = 4 + -7

Combine like terms: 4 + -7 = -3
-6a = -3

Divide each side by '-6'.
a = 0.5

Simplifying
a = 0.5