6(7+6n)=5-n

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

Simplifying
6(7 + 6n) = 5 + -1n
(7 * 6 + 6n * 6) = 5 + -1n
(42 + 36n) = 5 + -1n

Solving
42 + 36n = 5 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
42 + 36n + n = 5 + -1n + n

Combine like terms: 36n + n = 37n
42 + 37n = 5 + -1n + n

Combine like terms: -1n + n = 0
42 + 37n = 5 + 0
42 + 37n = 5

Add '-42' to each side of the equation.
42 + -42 + 37n = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 37n = 5 + -42
37n = 5 + -42

Combine like terms: 5 + -42 = -37
37n = -37

Divide each side by '37'.
n = -1

Simplifying
n = -1