-6+3a-b-4a+4b=5

Solution for -6+3a-b-4a+4b=5 equation:

Simplifying
-6 + 3a + -1b + -4a + 4b = 5

Reorder the terms:
-6 + 3a + -4a + -1b + 4b = 5

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

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

Solving
-6 + -1a + 3b = 5

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 + 3b = 5 + 6

Reorder the terms:
-6 + 6 + -1a + 3b = 5 + 6

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

Combine like terms: 5 + 6 = 11
-1a + 3b = 11

Add '-3b' to each side of the equation.
-1a + 3b + -3b = 11 + -3b

Combine like terms: 3b + -3b = 0
-1a + 0 = 11 + -3b
-1a = 11 + -3b

Divide each side by '-1'.
a = -11 + 3b

Simplifying
a = -11 + 3b