-7n-4(9n-1)=-6(1+7n)

Solution for -7n-4(9n-1)=-6(1+7n) equation:

Simplifying
-7n + -4(9n + -1) = -6(1 + 7n)

Reorder the terms:
-7n + -4(-1 + 9n) = -6(1 + 7n)
-7n + (-1 * -4 + 9n * -4) = -6(1 + 7n)
-7n + (4 + -36n) = -6(1 + 7n)

Reorder the terms:
4 + -7n + -36n = -6(1 + 7n)

Combine like terms: -7n + -36n = -43n
4 + -43n = -6(1 + 7n)
4 + -43n = (1 * -6 + 7n * -6)
4 + -43n = (-6 + -42n)

Solving
4 + -43n = -6 + -42n

Solving for variable 'n'.

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

Add '42n' to each side of the equation.
4 + -43n + 42n = -6 + -42n + 42n

Combine like terms: -43n + 42n = -1n
4 + -1n = -6 + -42n + 42n

Combine like terms: -42n + 42n = 0
4 + -1n = -6 + 0
4 + -1n = -6

Add '-4' to each side of the equation.
4 + -4 + -1n = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = -6 + -4
-1n = -6 + -4

Combine like terms: -6 + -4 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10