40=-4(-5n-1)+6(6+7n)

Solution for 40=-4(-5n-1)+6(6+7n) equation:

Simplifying
40 = -4(-5n + -1) + 6(6 + 7n)

Reorder the terms:
40 = -4(-1 + -5n) + 6(6 + 7n)
40 = (-1 * -4 + -5n * -4) + 6(6 + 7n)
40 = (4 + 20n) + 6(6 + 7n)
40 = 4 + 20n + (6 * 6 + 7n * 6)
40 = 4 + 20n + (36 + 42n)

Reorder the terms:
40 = 4 + 36 + 20n + 42n

Combine like terms: 4 + 36 = 40
40 = 40 + 20n + 42n

Combine like terms: 20n + 42n = 62n
40 = 40 + 62n

Add '-40' to each side of the equation.
40 + -40 = 40 + -40 + 62n

Combine like terms: 40 + -40 = 0
0 = 40 + -40 + 62n

Combine like terms: 40 + -40 = 0
0 = 0 + 62n
0 = 62n

Solving
0 = 62n

Solving for variable 'n'.

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

Add '-62n' to each side of the equation.
0 + -62n = 62n + -62n
Remove the zero:
-62n = 62n + -62n

Combine like terms: 62n + -62n = 0
-62n = 0

Divide each side by '-62'.
n = 0

Simplifying
n = 0