2(3n+3)=8(9n+4)+7

Solution for 2(3n+3)=8(9n+4)+7 equation:

Simplifying
2(3n + 3) = 8(9n + 4) + 7

Reorder the terms:
2(3 + 3n) = 8(9n + 4) + 7
(3 * 2 + 3n * 2) = 8(9n + 4) + 7
(6 + 6n) = 8(9n + 4) + 7

Reorder the terms:
6 + 6n = 8(4 + 9n) + 7
6 + 6n = (4 * 8 + 9n * 8) + 7
6 + 6n = (32 + 72n) + 7

Reorder the terms:
6 + 6n = 32 + 7 + 72n

Combine like terms: 32 + 7 = 39
6 + 6n = 39 + 72n

Solving
6 + 6n = 39 + 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 + 6n + -72n = 39 + 72n + -72n

Combine like terms: 6n + -72n = -66n
6 + -66n = 39 + 72n + -72n

Combine like terms: 72n + -72n = 0
6 + -66n = 39 + 0
6 + -66n = 39

Add '-6' to each side of the equation.
6 + -6 + -66n = 39 + -6

Combine like terms: 6 + -6 = 0
0 + -66n = 39 + -6
-66n = 39 + -6

Combine like terms: 39 + -6 = 33
-66n = 33

Divide each side by '-66'.
n = -0.5

Simplifying
n = -0.5