7(n-6)=6n

Solution for 7(n-6)=6n equation:

Simplifying
7(n + -6) = 6n

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

Solving
-42 + 7n = 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 = 6n + -6n

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

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

Add '42' to each side of the equation.
-42 + 42 + 1n = 0 + 42

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

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

Divide each side by '1'.
n = 42

Simplifying
n = 42