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

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

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

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

Reorder the terms:
-6a + 1a + -30b + -7b = 0

Combine like terms: -6a + 1a = -5a
-5a + -30b + -7b = 0

Combine like terms: -30b + -7b = -37b
-5a + -37b = 0

Solving
-5a + -37b = 0

Solving for variable 'a'.

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

Add '37b' to each side of the equation.
-5a + -37b + 37b = 0 + 37b

Combine like terms: -37b + 37b = 0
-5a + 0 = 0 + 37b
-5a = 0 + 37b
Remove the zero:
-5a = 37b

Divide each side by '-5'.
a = -7.4b

Simplifying
a = -7.4b