6(2n+1)=8(9n+7)+3

Solution for 6(2n+1)=8(9n+7)+3 equation:

Simplifying
6(2n + 1) = 8(9n + 7) + 3

Reorder the terms:
6(1 + 2n) = 8(9n + 7) + 3
(1 * 6 + 2n * 6) = 8(9n + 7) + 3
(6 + 12n) = 8(9n + 7) + 3

Reorder the terms:
6 + 12n = 8(7 + 9n) + 3
6 + 12n = (7 * 8 + 9n * 8) + 3
6 + 12n = (56 + 72n) + 3

Reorder the terms:
6 + 12n = 56 + 3 + 72n

Combine like terms: 56 + 3 = 59
6 + 12n = 59 + 72n

Solving
6 + 12n = 59 + 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 + 12n + -72n = 59 + 72n + -72n

Combine like terms: 12n + -72n = -60n
6 + -60n = 59 + 72n + -72n

Combine like terms: 72n + -72n = 0
6 + -60n = 59 + 0
6 + -60n = 59

Add '-6' to each side of the equation.
6 + -6 + -60n = 59 + -6

Combine like terms: 6 + -6 = 0
0 + -60n = 59 + -6
-60n = 59 + -6

Combine like terms: 59 + -6 = 53
-60n = 53

Divide each side by '-60'.
n = -0.8833333333

Simplifying
n = -0.8833333333