2(b-3)=4n+1

Solution for 2(b-3)=4n+1 equation:

Simplifying
2(b + -3) = 4n + 1

Reorder the terms:
2(-3 + b) = 4n + 1
(-3 * 2 + b * 2) = 4n + 1
(-6 + 2b) = 4n + 1

Reorder the terms:
-6 + 2b = 1 + 4n

Solving
-6 + 2b = 1 + 4n

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 2b = 1 + 6 + 4n

Combine like terms: -6 + 6 = 0
0 + 2b = 1 + 6 + 4n
2b = 1 + 6 + 4n

Combine like terms: 1 + 6 = 7
2b = 7 + 4n

Divide each side by '2'.
b = 3.5 + 2n

Simplifying
b = 3.5 + 2n