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

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

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

Reorder the terms:
-6 + 5n = -7(5n + -6) + -6n

Reorder the terms:
-6 + 5n = -7(-6 + 5n) + -6n
-6 + 5n = (-6 * -7 + 5n * -7) + -6n
-6 + 5n = (42 + -35n) + -6n

Combine like terms: -35n + -6n = -41n
-6 + 5n = 42 + -41n

Solving
-6 + 5n = 42 + -41n

Solving for variable 'n'.

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

Add '41n' to each side of the equation.
-6 + 5n + 41n = 42 + -41n + 41n

Combine like terms: 5n + 41n = 46n
-6 + 46n = 42 + -41n + 41n

Combine like terms: -41n + 41n = 0
-6 + 46n = 42 + 0
-6 + 46n = 42

Add '6' to each side of the equation.
-6 + 6 + 46n = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 46n = 42 + 6
46n = 42 + 6

Combine like terms: 42 + 6 = 48
46n = 48

Divide each side by '46'.
n = 1.043478261

Simplifying
n = 1.043478261