6(3n+1)=9(7n+8)+5

Solution for 6(3n+1)=9(7n+8)+5 equation:

Simplifying
6(3n + 1) = 9(7n + 8) + 5

Reorder the terms:
6(1 + 3n) = 9(7n + 8) + 5
(1 * 6 + 3n * 6) = 9(7n + 8) + 5
(6 + 18n) = 9(7n + 8) + 5

Reorder the terms:
6 + 18n = 9(8 + 7n) + 5
6 + 18n = (8 * 9 + 7n * 9) + 5
6 + 18n = (72 + 63n) + 5

Reorder the terms:
6 + 18n = 72 + 5 + 63n

Combine like terms: 72 + 5 = 77
6 + 18n = 77 + 63n

Solving
6 + 18n = 77 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
6 + 18n + -63n = 77 + 63n + -63n

Combine like terms: 18n + -63n = -45n
6 + -45n = 77 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -45n = 77 + 0
6 + -45n = 77

Add '-6' to each side of the equation.
6 + -6 + -45n = 77 + -6

Combine like terms: 6 + -6 = 0
0 + -45n = 77 + -6
-45n = 77 + -6

Combine like terms: 77 + -6 = 71
-45n = 71

Divide each side by '-45'.
n = -1.577777778

Simplifying
n = -1.577777778