6((5(b-4)+18)-(3(5b-3)+5))=

Solution for 6((5(b-4)+18)-(3(5b-3)+5))= equation:

Simplifying
6((5(b + -4) + 18) + -1(3(5b + -3) + 5)) = 0

Reorder the terms:
6((5(-4 + b) + 18) + -1(3(5b + -3) + 5)) = 0
6(((-4 * 5 + b * 5) + 18) + -1(3(5b + -3) + 5)) = 0
6(((-20 + 5b) + 18) + -1(3(5b + -3) + 5)) = 0

Reorder the terms:
6((-20 + 18 + 5b) + -1(3(5b + -3) + 5)) = 0

Combine like terms: -20 + 18 = -2
6((-2 + 5b) + -1(3(5b + -3) + 5)) = 0

Remove parenthesis around (-2 + 5b)
6(-2 + 5b + -1(3(5b + -3) + 5)) = 0

Reorder the terms:
6(-2 + 5b + -1(3(-3 + 5b) + 5)) = 0
6(-2 + 5b + -1((-3 * 3 + 5b * 3) + 5)) = 0
6(-2 + 5b + -1((-9 + 15b) + 5)) = 0

Reorder the terms:
6(-2 + 5b + -1(-9 + 5 + 15b)) = 0

Combine like terms: -9 + 5 = -4
6(-2 + 5b + -1(-4 + 15b)) = 0
6(-2 + 5b + (-4 * -1 + 15b * -1)) = 0
6(-2 + 5b + (4 + -15b)) = 0

Reorder the terms:
6(-2 + 4 + 5b + -15b) = 0

Combine like terms: -2 + 4 = 2
6(2 + 5b + -15b) = 0

Combine like terms: 5b + -15b = -10b
6(2 + -10b) = 0
(2 * 6 + -10b * 6) = 0
(12 + -60b) = 0

Solving
12 + -60b = 0

Solving for variable 'b'.

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

Add '-12' to each side of the equation.
12 + -12 + -60b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -60b = 0 + -12
-60b = 0 + -12

Combine like terms: 0 + -12 = -12
-60b = -12

Divide each side by '-60'.
b = 0.2

Simplifying
b = 0.2