(2b+1)+b+(10-b)+(b+1)+[14-(10-b)]=30

Solution for (2b+1)+b+(10-b)+(b+1)+[14-(10-b)]=30 equation:

Simplifying
(2b + 1) + b + (10 + -1b) + (b + 1) + [14 + -1(10 + -1b)] = 30

Reorder the terms:
(1 + 2b) + b + (10 + -1b) + (b + 1) + [14 + -1(10 + -1b)] = 30

Remove parenthesis around (1 + 2b)
1 + 2b + b + (10 + -1b) + (b + 1) + [14 + -1(10 + -1b)] = 30

Remove parenthesis around (10 + -1b)
1 + 2b + b + 10 + -1b + (b + 1) + [14 + -1(10 + -1b)] = 30

Reorder the terms:
1 + 2b + b + 10 + -1b + (1 + b) + [14 + -1(10 + -1b)] = 30

Remove parenthesis around (1 + b)
1 + 2b + b + 10 + -1b + 1 + b + [14 + -1(10 + -1b)] = 30
1 + 2b + b + 10 + -1b + 1 + b + [14 + (10 * -1 + -1b * -1)] = 30
1 + 2b + b + 10 + -1b + 1 + b + [14 + (-10 + 1b)] = 30

Combine like terms: 14 + -10 = 4
1 + 2b + b + 10 + -1b + 1 + b + [4 + 1b] = 30

Remove brackets around [4 + 1b]
1 + 2b + b + 10 + -1b + 1 + b + 4 + 1b = 30

Reorder the terms:
1 + 10 + 1 + 4 + 2b + b + -1b + b + 1b = 30

Combine like terms: 1 + 10 = 11
11 + 1 + 4 + 2b + b + -1b + b + 1b = 30

Combine like terms: 11 + 1 = 12
12 + 4 + 2b + b + -1b + b + 1b = 30

Combine like terms: 12 + 4 = 16
16 + 2b + b + -1b + b + 1b = 30

Combine like terms: 2b + b = 3b
16 + 3b + -1b + b + 1b = 30

Combine like terms: 3b + -1b = 2b
16 + 2b + b + 1b = 30

Combine like terms: 2b + b = 3b
16 + 3b + 1b = 30

Combine like terms: 3b + 1b = 4b
16 + 4b = 30

Solving
16 + 4b = 30

Solving for variable 'b'.

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

Add '-16' to each side of the equation.
16 + -16 + 4b = 30 + -16

Combine like terms: 16 + -16 = 0
0 + 4b = 30 + -16
4b = 30 + -16

Combine like terms: 30 + -16 = 14
4b = 14

Divide each side by '4'.
b = 3.5

Simplifying
b = 3.5