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

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

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

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

Reorder the terms:
6 + 9n = 8(3 + 8n) + 8
6 + 9n = (3 * 8 + 8n * 8) + 8
6 + 9n = (24 + 64n) + 8

Reorder the terms:
6 + 9n = 24 + 8 + 64n

Combine like terms: 24 + 8 = 32
6 + 9n = 32 + 64n

Solving
6 + 9n = 32 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
6 + 9n + -64n = 32 + 64n + -64n

Combine like terms: 9n + -64n = -55n
6 + -55n = 32 + 64n + -64n

Combine like terms: 64n + -64n = 0
6 + -55n = 32 + 0
6 + -55n = 32

Add '-6' to each side of the equation.
6 + -6 + -55n = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -55n = 32 + -6
-55n = 32 + -6

Combine like terms: 32 + -6 = 26
-55n = 26

Divide each side by '-55'.
n = -0.4727272727

Simplifying
n = -0.4727272727