2(a-3)=4n+1

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

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

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

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

Solving
-6 + 2a = 1 + 4n

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a = 3.5 + 2n