1+2(4n-1)=55

Solution for 1+2(4n-1)=55 equation:

Simplifying
1 + 2(4n + -1) = 55

Reorder the terms:
1 + 2(-1 + 4n) = 55
1 + (-1 * 2 + 4n * 2) = 55
1 + (-2 + 8n) = 55

Combine like terms: 1 + -2 = -1
-1 + 8n = 55

Solving
-1 + 8n = 55

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 8n = 55 + 1

Combine like terms: -1 + 1 = 0
0 + 8n = 55 + 1
8n = 55 + 1

Combine like terms: 55 + 1 = 56
8n = 56

Divide each side by '8'.
n = 7

Simplifying
n = 7