1+4(2n-1)=21

Solution for 1+4(2n-1)=21 equation:

Simplifying
1 + 4(2n + -1) = 21

Reorder the terms:
1 + 4(-1 + 2n) = 21
1 + (-1 * 4 + 2n * 4) = 21
1 + (-4 + 8n) = 21

Combine like terms: 1 + -4 = -3
-3 + 8n = 21

Solving
-3 + 8n = 21

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 8n = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 8n = 21 + 3
8n = 21 + 3

Combine like terms: 21 + 3 = 24
8n = 24

Divide each side by '8'.
n = 3

Simplifying
n = 3