71=3+4(3b+5)

Solution for 71=3+4(3b+5) equation:

Simplifying
71 = 3 + 4(3b + 5)

Reorder the terms:
71 = 3 + 4(5 + 3b)
71 = 3 + (5 * 4 + 3b * 4)
71 = 3 + (20 + 12b)

Combine like terms: 3 + 20 = 23
71 = 23 + 12b

Solving
71 = 23 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
71 + -12b = 23 + 12b + -12b

Combine like terms: 12b + -12b = 0
71 + -12b = 23 + 0
71 + -12b = 23

Add '-71' to each side of the equation.
71 + -71 + -12b = 23 + -71

Combine like terms: 71 + -71 = 0
0 + -12b = 23 + -71
-12b = 23 + -71

Combine like terms: 23 + -71 = -48
-12b = -48

Divide each side by '-12'.
b = 4

Simplifying
b = 4