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

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

Simplifying
7(6 + n) = 6(2 + n)
(6 * 7 + n * 7) = 6(2 + n)
(42 + 7n) = 6(2 + n)
42 + 7n = (2 * 6 + n * 6)
42 + 7n = (12 + 6n)

Solving
42 + 7n = 12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
42 + 7n + -6n = 12 + 6n + -6n

Combine like terms: 7n + -6n = 1n
42 + 1n = 12 + 6n + -6n

Combine like terms: 6n + -6n = 0
42 + 1n = 12 + 0
42 + 1n = 12

Add '-42' to each side of the equation.
42 + -42 + 1n = 12 + -42

Combine like terms: 42 + -42 = 0
0 + 1n = 12 + -42
1n = 12 + -42

Combine like terms: 12 + -42 = -30
1n = -30

Divide each side by '1'.
n = -30

Simplifying
n = -30