6(2n+1)=6(8n+5)+7

Solution for 6(2n+1)=6(8n+5)+7 equation:

Simplifying
6(2n + 1) = 6(8n + 5) + 7

Reorder the terms:
6(1 + 2n) = 6(8n + 5) + 7
(1 * 6 + 2n * 6) = 6(8n + 5) + 7
(6 + 12n) = 6(8n + 5) + 7

Reorder the terms:
6 + 12n = 6(5 + 8n) + 7
6 + 12n = (5 * 6 + 8n * 6) + 7
6 + 12n = (30 + 48n) + 7

Reorder the terms:
6 + 12n = 30 + 7 + 48n

Combine like terms: 30 + 7 = 37
6 + 12n = 37 + 48n

Solving
6 + 12n = 37 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
6 + 12n + -48n = 37 + 48n + -48n

Combine like terms: 12n + -48n = -36n
6 + -36n = 37 + 48n + -48n

Combine like terms: 48n + -48n = 0
6 + -36n = 37 + 0
6 + -36n = 37

Add '-6' to each side of the equation.
6 + -6 + -36n = 37 + -6

Combine like terms: 6 + -6 = 0
0 + -36n = 37 + -6
-36n = 37 + -6

Combine like terms: 37 + -6 = 31
-36n = 31

Divide each side by '-36'.
n = -0.8611111111

Simplifying
n = -0.8611111111