3(2n+2)=7(4n+9)+1

Solution for 3(2n+2)=7(4n+9)+1 equation:

Simplifying
3(2n + 2) = 7(4n + 9) + 1

Reorder the terms:
3(2 + 2n) = 7(4n + 9) + 1
(2 * 3 + 2n * 3) = 7(4n + 9) + 1
(6 + 6n) = 7(4n + 9) + 1

Reorder the terms:
6 + 6n = 7(9 + 4n) + 1
6 + 6n = (9 * 7 + 4n * 7) + 1
6 + 6n = (63 + 28n) + 1

Reorder the terms:
6 + 6n = 63 + 1 + 28n

Combine like terms: 63 + 1 = 64
6 + 6n = 64 + 28n

Solving
6 + 6n = 64 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
6 + 6n + -28n = 64 + 28n + -28n

Combine like terms: 6n + -28n = -22n
6 + -22n = 64 + 28n + -28n

Combine like terms: 28n + -28n = 0
6 + -22n = 64 + 0
6 + -22n = 64

Add '-6' to each side of the equation.
6 + -6 + -22n = 64 + -6

Combine like terms: 6 + -6 = 0
0 + -22n = 64 + -6
-22n = 64 + -6

Combine like terms: 64 + -6 = 58
-22n = 58

Divide each side by '-22'.
n = -2.636363636

Simplifying
n = -2.636363636