-6(a+5b)-3(-7b-a)=0

Solution for -6(a+5b)-3(-7b-a)=0 equation:

Simplifying
-6(a + 5b) + -3(-7b + -1a) = 0
(a * -6 + 5b * -6) + -3(-7b + -1a) = 0
(-6a + -30b) + -3(-7b + -1a) = 0

Reorder the terms:
-6a + -30b + -3(-1a + -7b) = 0
-6a + -30b + (-1a * -3 + -7b * -3) = 0
-6a + -30b + (3a + 21b) = 0

Reorder the terms:
-6a + 3a + -30b + 21b = 0

Combine like terms: -6a + 3a = -3a
-3a + -30b + 21b = 0

Combine like terms: -30b + 21b = -9b
-3a + -9b = 0

Solving
-3a + -9b = 0

Solving for variable 'a'.

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

Add '9b' to each side of the equation.
-3a + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
-3a + 0 = 0 + 9b
-3a = 0 + 9b
Remove the zero:
-3a = 9b

Divide each side by '-3'.
a = -3b

Simplifying
a = -3b