9[1+8n]-3=78

Solution for 9[1+8n]-3=78 equation:

Simplifying
9[1 + 8n] + -3 = 78
[1 * 9 + 8n * 9] + -3 = 78
[9 + 72n] + -3 = 78

Reorder the terms:
9 + -3 + 72n = 78

Combine like terms: 9 + -3 = 6
6 + 72n = 78

Solving
6 + 72n = 78

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 72n = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 72n = 78 + -6
72n = 78 + -6

Combine like terms: 78 + -6 = 72
72n = 72

Divide each side by '72'.
n = 1

Simplifying
n = 1