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

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

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

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

Reorder the terms:
6 + 12n = 8(6 + 8n) + 3
6 + 12n = (6 * 8 + 8n * 8) + 3
6 + 12n = (48 + 64n) + 3

Reorder the terms:
6 + 12n = 48 + 3 + 64n

Combine like terms: 48 + 3 = 51
6 + 12n = 51 + 64n

Solving
6 + 12n = 51 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
6 + 12n + -64n = 51 + 64n + -64n

Combine like terms: 12n + -64n = -52n
6 + -52n = 51 + 64n + -64n

Combine like terms: 64n + -64n = 0
6 + -52n = 51 + 0
6 + -52n = 51

Add '-6' to each side of the equation.
6 + -6 + -52n = 51 + -6

Combine like terms: 6 + -6 = 0
0 + -52n = 51 + -6
-52n = 51 + -6

Combine like terms: 51 + -6 = 45
-52n = 45

Divide each side by '-52'.
n = -0.8653846154

Simplifying
n = -0.8653846154