(7a-b+3)-(2a-8b)=

Solution for (7a-b+3)-(2a-8b)= equation:

Simplifying
(7a + -1b + 3) + -1(2a + -8b) = 0

Reorder the terms:
(3 + 7a + -1b) + -1(2a + -8b) = 0

Remove parenthesis around (3 + 7a + -1b)
3 + 7a + -1b + -1(2a + -8b) = 0
3 + 7a + -1b + (2a * -1 + -8b * -1) = 0
3 + 7a + -1b + (-2a + 8b) = 0

Reorder the terms:
3 + 7a + -2a + -1b + 8b = 0

Combine like terms: 7a + -2a = 5a
3 + 5a + -1b + 8b = 0

Combine like terms: -1b + 8b = 7b
3 + 5a + 7b = 0

Solving
3 + 5a + 7b = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 5a + -3 + 7b = 0 + -3

Reorder the terms:
3 + -3 + 5a + 7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5a + 7b = 0 + -3
5a + 7b = 0 + -3

Combine like terms: 0 + -3 = -3
5a + 7b = -3

Add '-7b' to each side of the equation.
5a + 7b + -7b = -3 + -7b

Combine like terms: 7b + -7b = 0
5a + 0 = -3 + -7b
5a = -3 + -7b

Divide each side by '5'.
a = -0.6 + -1.4b

Simplifying
a = -0.6 + -1.4b