3(2b+7)2=75

Solution for 3(2b+7)2=75 equation:

Simplifying
3(2b + 7) * 2 = 75

Reorder the terms:
3(7 + 2b) * 2 = 75

Reorder the terms for easier multiplication:
3 * 2(7 + 2b) = 75

Multiply 3 * 2
6(7 + 2b) = 75
(7 * 6 + 2b * 6) = 75
(42 + 12b) = 75

Solving
42 + 12b = 75

Solving for variable 'b'.

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

Add '-42' to each side of the equation.
42 + -42 + 12b = 75 + -42

Combine like terms: 42 + -42 = 0
0 + 12b = 75 + -42
12b = 75 + -42

Combine like terms: 75 + -42 = 33
12b = 33

Divide each side by '12'.
b = 2.75

Simplifying
b = 2.75