(2a-7b+1)-(a+7b+2)=0

Solution for (2a-7b+1)-(a+7b+2)=0 equation:

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

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

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

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

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

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

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

Combine like terms: -7b + -7b = -14b
-1 + 1a + -14b = 0

Solving
-1 + 1a + -14b = 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 + 1a + 1 + -14b = 0 + 1

Reorder the terms:
-1 + 1 + 1a + -14b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1a + -14b = 0 + 1
1a + -14b = 0 + 1

Combine like terms: 0 + 1 = 1
1a + -14b = 1

Add '14b' to each side of the equation.
1a + -14b + 14b = 1 + 14b

Combine like terms: -14b + 14b = 0
1a + 0 = 1 + 14b
1a = 1 + 14b

Divide each side by '1'.
a = 1 + 14b

Simplifying
a = 1 + 14b