6-n=7(6+5n)

Solution for 6-n=7(6+5n) equation:

Simplifying
6 + -1n = 7(6 + 5n)
6 + -1n = (6 * 7 + 5n * 7)
6 + -1n = (42 + 35n)

Solving
6 + -1n = 42 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
6 + -1n + -35n = 42 + 35n + -35n

Combine like terms: -1n + -35n = -36n
6 + -36n = 42 + 35n + -35n

Combine like terms: 35n + -35n = 0
6 + -36n = 42 + 0
6 + -36n = 42

Add '-6' to each side of the equation.
6 + -6 + -36n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -36n = 42 + -6
-36n = 42 + -6

Combine like terms: 42 + -6 = 36
-36n = 36

Divide each side by '-36'.
n = -1

Simplifying
n = -1