(B*2)+(B)+(B*2+1)=76

Solution for (B*2)+(B)+(B*2+1)=76 equation:

Simplifying
(B * 2) + (B) + (B * 2 + 1) = 76

Reorder the terms for easier multiplication:
(2B) + (B) + (B * 2 + 1) = 76
(2B) + B + (B * 2 + 1) = 76

Reorder the terms for easier multiplication:
(2B) + B + (2B + 1) = 76

Reorder the terms:
(2B) + B + (1 + 2B) = 76

Remove parenthesis around (1 + 2B)
(2B) + B + 1 + 2B = 76

Reorder the terms:
1 + (2B) + B + 2B = 76

Combine like terms: (2B) + B = 3B
1 + 3B + 2B = 76

Combine like terms: 3B + 2B = 5B
1 + 5B = 76

Solving
1 + 5B = 76

Solving for variable 'B'.

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

Add '-1' to each side of the equation.
1 + -1 + 5B = 76 + -1

Combine like terms: 1 + -1 = 0
0 + 5B = 76 + -1
5B = 76 + -1

Combine like terms: 76 + -1 = 75
5B = 75

Divide each side by '5'.
B = 15

Simplifying
B = 15