(7a+7b-1)-(a-b)=

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

Simplifying
(7a + 7b + -1) + -1(a + -1b) = 0

Reorder the terms:
(-1 + 7a + 7b) + -1(a + -1b) = 0

Remove parenthesis around (-1 + 7a + 7b)
-1 + 7a + 7b + -1(a + -1b) = 0
-1 + 7a + 7b + (a * -1 + -1b * -1) = 0
-1 + 7a + 7b + (-1a + 1b) = 0

Reorder the terms:
-1 + 7a + -1a + 7b + 1b = 0

Combine like terms: 7a + -1a = 6a
-1 + 6a + 7b + 1b = 0

Combine like terms: 7b + 1b = 8b
-1 + 6a + 8b = 0

Solving
-1 + 6a + 8b = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 6a + 1 + 8b = 0 + 1

Reorder the terms:
-1 + 1 + 6a + 8b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6a + 8b = 0 + 1
6a + 8b = 0 + 1

Combine like terms: 0 + 1 = 1
6a + 8b = 1

Add '-8b' to each side of the equation.
6a + 8b + -8b = 1 + -8b

Combine like terms: 8b + -8b = 0
6a + 0 = 1 + -8b
6a = 1 + -8b

Divide each side by '6'.
a = 0.1666666667 + -1.333333333b

Simplifying
a = 0.1666666667 + -1.333333333b