-6(b-7)-2(b+6)=30

Solution for -6(b-7)-2(b+6)=30 equation:

Simplifying
-6(b + -7) + -2(b + 6) = 30

Reorder the terms:
-6(-7 + b) + -2(b + 6) = 30
(-7 * -6 + b * -6) + -2(b + 6) = 30
(42 + -6b) + -2(b + 6) = 30

Reorder the terms:
42 + -6b + -2(6 + b) = 30
42 + -6b + (6 * -2 + b * -2) = 30
42 + -6b + (-12 + -2b) = 30

Reorder the terms:
42 + -12 + -6b + -2b = 30

Combine like terms: 42 + -12 = 30
30 + -6b + -2b = 30

Combine like terms: -6b + -2b = -8b
30 + -8b = 30

Add '-30' to each side of the equation.
30 + -30 + -8b = 30 + -30

Combine like terms: 30 + -30 = 0
0 + -8b = 30 + -30
-8b = 30 + -30

Combine like terms: 30 + -30 = 0
-8b = 0

Solving
-8b = 0

Solving for variable 'b'.

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

Divide each side by '-8'.
b = 0

Simplifying
b = 0