6(4b+6)+b=86

Solution for 6(4b+6)+b=86 equation:

Simplifying
6(4b + 6) + b = 86

Reorder the terms:
6(6 + 4b) + b = 86
(6 * 6 + 4b * 6) + b = 86
(36 + 24b) + b = 86

Combine like terms: 24b + b = 25b
36 + 25b = 86

Solving
36 + 25b = 86

Solving for variable 'b'.

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

Add '-36' to each side of the equation.
36 + -36 + 25b = 86 + -36

Combine like terms: 36 + -36 = 0
0 + 25b = 86 + -36
25b = 86 + -36

Combine like terms: 86 + -36 = 50
25b = 50

Divide each side by '25'.
b = 2

Simplifying
b = 2