3(a-7b)-(a-7b)+6b=

Solution for 3(a-7b)-(a-7b)+6b= equation:

Simplifying
3(a + -7b) + -1(a + -7b) + 6b = 0
(a * 3 + -7b * 3) + -1(a + -7b) + 6b = 0
(3a + -21b) + -1(a + -7b) + 6b = 0
3a + -21b + (a * -1 + -7b * -1) + 6b = 0
3a + -21b + (-1a + 7b) + 6b = 0

Reorder the terms:
3a + -1a + -21b + 7b + 6b = 0

Combine like terms: 3a + -1a = 2a
2a + -21b + 7b + 6b = 0

Combine like terms: -21b + 7b = -14b
2a + -14b + 6b = 0

Combine like terms: -14b + 6b = -8b
2a + -8b = 0

Solving
2a + -8b = 0

Solving for variable 'a'.

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

Add '8b' to each side of the equation.
2a + -8b + 8b = 0 + 8b

Combine like terms: -8b + 8b = 0
2a + 0 = 0 + 8b
2a = 0 + 8b
Remove the zero:
2a = 8b

Divide each side by '2'.
a = 4b

Simplifying
a = 4b