6(n-7)-4n=5n-6(1-n)

Solution for 6(n-7)-4n=5n-6(1-n) equation:

Simplifying
6(n + -7) + -4n = 5n + -6(1 + -1n)

Reorder the terms:
6(-7 + n) + -4n = 5n + -6(1 + -1n)
(-7 * 6 + n * 6) + -4n = 5n + -6(1 + -1n)
(-42 + 6n) + -4n = 5n + -6(1 + -1n)

Combine like terms: 6n + -4n = 2n
-42 + 2n = 5n + -6(1 + -1n)
-42 + 2n = 5n + (1 * -6 + -1n * -6)
-42 + 2n = 5n + (-6 + 6n)

Reorder the terms:
-42 + 2n = -6 + 5n + 6n

Combine like terms: 5n + 6n = 11n
-42 + 2n = -6 + 11n

Solving
-42 + 2n = -6 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-42 + 2n + -11n = -6 + 11n + -11n

Combine like terms: 2n + -11n = -9n
-42 + -9n = -6 + 11n + -11n

Combine like terms: 11n + -11n = 0
-42 + -9n = -6 + 0
-42 + -9n = -6

Add '42' to each side of the equation.
-42 + 42 + -9n = -6 + 42

Combine like terms: -42 + 42 = 0
0 + -9n = -6 + 42
-9n = -6 + 42

Combine like terms: -6 + 42 = 36
-9n = 36

Divide each side by '-9'.
n = -4

Simplifying
n = -4