-7(n-5)=6n-6(1+9n)

Solution for -7(n-5)=6n-6(1+9n) equation:

Simplifying
-7(n + -5) = 6n + -6(1 + 9n)

Reorder the terms:
-7(-5 + n) = 6n + -6(1 + 9n)
(-5 * -7 + n * -7) = 6n + -6(1 + 9n)
(35 + -7n) = 6n + -6(1 + 9n)
35 + -7n = 6n + (1 * -6 + 9n * -6)
35 + -7n = 6n + (-6 + -54n)

Reorder the terms:
35 + -7n = -6 + 6n + -54n

Combine like terms: 6n + -54n = -48n
35 + -7n = -6 + -48n

Solving
35 + -7n = -6 + -48n

Solving for variable 'n'.

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

Add '48n' to each side of the equation.
35 + -7n + 48n = -6 + -48n + 48n

Combine like terms: -7n + 48n = 41n
35 + 41n = -6 + -48n + 48n

Combine like terms: -48n + 48n = 0
35 + 41n = -6 + 0
35 + 41n = -6

Add '-35' to each side of the equation.
35 + -35 + 41n = -6 + -35

Combine like terms: 35 + -35 = 0
0 + 41n = -6 + -35
41n = -6 + -35

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

Divide each side by '41'.
n = -1

Simplifying
n = -1