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

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

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

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

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

Reorder the terms:
6 + 4n = 32 + 9 + 32n

Combine like terms: 32 + 9 = 41
6 + 4n = 41 + 32n

Solving
6 + 4n = 41 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
6 + 4n + -32n = 41 + 32n + -32n

Combine like terms: 4n + -32n = -28n
6 + -28n = 41 + 32n + -32n

Combine like terms: 32n + -32n = 0
6 + -28n = 41 + 0
6 + -28n = 41

Add '-6' to each side of the equation.
6 + -6 + -28n = 41 + -6

Combine like terms: 6 + -6 = 0
0 + -28n = 41 + -6
-28n = 41 + -6

Combine like terms: 41 + -6 = 35
-28n = 35

Divide each side by '-28'.
n = -1.25

Simplifying
n = -1.25