-7n-6(1-7n)=-n+30

Solution for -7n-6(1-7n)=-n+30 equation:

Simplifying
-7n + -6(1 + -7n) = -1n + 30
-7n + (1 * -6 + -7n * -6) = -1n + 30
-7n + (-6 + 42n) = -1n + 30

Reorder the terms:
-6 + -7n + 42n = -1n + 30

Combine like terms: -7n + 42n = 35n
-6 + 35n = -1n + 30

Reorder the terms:
-6 + 35n = 30 + -1n

Solving
-6 + 35n = 30 + -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.
-6 + 35n + n = 30 + -1n + n

Combine like terms: 35n + n = 36n
-6 + 36n = 30 + -1n + n

Combine like terms: -1n + n = 0
-6 + 36n = 30 + 0
-6 + 36n = 30

Add '6' to each side of the equation.
-6 + 6 + 36n = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 36n = 30 + 6
36n = 30 + 6

Combine like terms: 30 + 6 = 36
36n = 36

Divide each side by '36'.
n = 1

Simplifying
n = 1