(3a-2b+1)-(a-b-3)-(a+5b-2)=

Solution for (3a-2b+1)-(a-b-3)-(a+5b-2)= equation:

Simplifying
(3a + -2b + 1) + -1(a + -1b + -3) + -1(a + 5b + -2) = 0

Reorder the terms:
(1 + 3a + -2b) + -1(a + -1b + -3) + -1(a + 5b + -2) = 0

Remove parenthesis around (1 + 3a + -2b)
1 + 3a + -2b + -1(a + -1b + -3) + -1(a + 5b + -2) = 0

Reorder the terms:
1 + 3a + -2b + -1(-3 + a + -1b) + -1(a + 5b + -2) = 0
1 + 3a + -2b + (-3 * -1 + a * -1 + -1b * -1) + -1(a + 5b + -2) = 0
1 + 3a + -2b + (3 + -1a + 1b) + -1(a + 5b + -2) = 0

Reorder the terms:
1 + 3a + -2b + 3 + -1a + 1b + -1(-2 + a + 5b) = 0
1 + 3a + -2b + 3 + -1a + 1b + (-2 * -1 + a * -1 + 5b * -1) = 0
1 + 3a + -2b + 3 + -1a + 1b + (2 + -1a + -5b) = 0

Reorder the terms:
1 + 3 + 2 + 3a + -1a + -1a + -2b + 1b + -5b = 0

Combine like terms: 1 + 3 = 4
4 + 2 + 3a + -1a + -1a + -2b + 1b + -5b = 0

Combine like terms: 4 + 2 = 6
6 + 3a + -1a + -1a + -2b + 1b + -5b = 0

Combine like terms: 3a + -1a = 2a
6 + 2a + -1a + -2b + 1b + -5b = 0

Combine like terms: 2a + -1a = 1a
6 + 1a + -2b + 1b + -5b = 0

Combine like terms: -2b + 1b = -1b
6 + 1a + -1b + -5b = 0

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

Solving
6 + 1a + -6b = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 1a + -6 + -6b = 0 + -6

Reorder the terms:
6 + -6 + 1a + -6b = 0 + -6

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

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

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

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

Divide each side by '1'.
a = -6 + 6b

Simplifying
a = -6 + 6b