3(3n+2)=9(8n+8)+1

Solution for 3(3n+2)=9(8n+8)+1 equation:

Simplifying
3(3n + 2) = 9(8n + 8) + 1

Reorder the terms:
3(2 + 3n) = 9(8n + 8) + 1
(2 * 3 + 3n * 3) = 9(8n + 8) + 1
(6 + 9n) = 9(8n + 8) + 1

Reorder the terms:
6 + 9n = 9(8 + 8n) + 1
6 + 9n = (8 * 9 + 8n * 9) + 1
6 + 9n = (72 + 72n) + 1

Reorder the terms:
6 + 9n = 72 + 1 + 72n

Combine like terms: 72 + 1 = 73
6 + 9n = 73 + 72n

Solving
6 + 9n = 73 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
6 + 9n + -72n = 73 + 72n + -72n

Combine like terms: 9n + -72n = -63n
6 + -63n = 73 + 72n + -72n

Combine like terms: 72n + -72n = 0
6 + -63n = 73 + 0
6 + -63n = 73

Add '-6' to each side of the equation.
6 + -6 + -63n = 73 + -6

Combine like terms: 6 + -6 = 0
0 + -63n = 73 + -6
-63n = 73 + -6

Combine like terms: 73 + -6 = 67
-63n = 67

Divide each side by '-63'.
n = -1.063492063

Simplifying
n = -1.063492063