5+4(2n-9)=1

Solution for 5+4(2n-9)=1 equation:

Simplifying
5 + 4(2n + -9) = 1

Reorder the terms:
5 + 4(-9 + 2n) = 1
5 + (-9 * 4 + 2n * 4) = 1
5 + (-36 + 8n) = 1

Combine like terms: 5 + -36 = -31
-31 + 8n = 1

Solving
-31 + 8n = 1

Solving for variable 'n'.

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

Add '31' to each side of the equation.
-31 + 31 + 8n = 1 + 31

Combine like terms: -31 + 31 = 0
0 + 8n = 1 + 31
8n = 1 + 31

Combine like terms: 1 + 31 = 32
8n = 32

Divide each side by '8'.
n = 4

Simplifying
n = 4