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

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

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

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

Reorder the terms:
3 + 6n = 7(8 + 9n) + 8
3 + 6n = (8 * 7 + 9n * 7) + 8
3 + 6n = (56 + 63n) + 8

Reorder the terms:
3 + 6n = 56 + 8 + 63n

Combine like terms: 56 + 8 = 64
3 + 6n = 64 + 63n

Solving
3 + 6n = 64 + 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.
3 + 6n + -63n = 64 + 63n + -63n

Combine like terms: 6n + -63n = -57n
3 + -57n = 64 + 63n + -63n

Combine like terms: 63n + -63n = 0
3 + -57n = 64 + 0
3 + -57n = 64

Add '-3' to each side of the equation.
3 + -3 + -57n = 64 + -3

Combine like terms: 3 + -3 = 0
0 + -57n = 64 + -3
-57n = 64 + -3

Combine like terms: 64 + -3 = 61
-57n = 61

Divide each side by '-57'.
n = -1.070175439

Simplifying
n = -1.070175439