3(2b+25)-2(b-1)=78

Solution for 3(2b+25)-2(b-1)=78 equation:

Simplifying
3(2b + 25) + -2(b + -1) = 78

Reorder the terms:
3(25 + 2b) + -2(b + -1) = 78
(25 * 3 + 2b * 3) + -2(b + -1) = 78
(75 + 6b) + -2(b + -1) = 78

Reorder the terms:
75 + 6b + -2(-1 + b) = 78
75 + 6b + (-1 * -2 + b * -2) = 78
75 + 6b + (2 + -2b) = 78

Reorder the terms:
75 + 2 + 6b + -2b = 78

Combine like terms: 75 + 2 = 77
77 + 6b + -2b = 78

Combine like terms: 6b + -2b = 4b
77 + 4b = 78

Solving
77 + 4b = 78

Solving for variable 'b'.

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

Add '-77' to each side of the equation.
77 + -77 + 4b = 78 + -77

Combine like terms: 77 + -77 = 0
0 + 4b = 78 + -77
4b = 78 + -77

Combine like terms: 78 + -77 = 1
4b = 1

Divide each side by '4'.
b = 0.25

Simplifying
b = 0.25