6(n+7)=7(6+2n)

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

Simplifying
6(n + 7) = 7(6 + 2n)

Reorder the terms:
6(7 + n) = 7(6 + 2n)
(7 * 6 + n * 6) = 7(6 + 2n)
(42 + 6n) = 7(6 + 2n)
42 + 6n = (6 * 7 + 2n * 7)
42 + 6n = (42 + 14n)

Add '-42' to each side of the equation.
42 + -42 + 6n = 42 + -42 + 14n

Combine like terms: 42 + -42 = 0
0 + 6n = 42 + -42 + 14n
6n = 42 + -42 + 14n

Combine like terms: 42 + -42 = 0
6n = 0 + 14n
6n = 14n

Solving
6n = 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
6n + -14n = 14n + -14n

Combine like terms: 6n + -14n = -8n
-8n = 14n + -14n

Combine like terms: 14n + -14n = 0
-8n = 0

Divide each side by '-8'.
n = 0

Simplifying
n = 0