116=-4(6+5n)

Solution for 116=-4(6+5n) equation:

Simplifying
116 = -4(6 + 5n)
116 = (6 * -4 + 5n * -4)
116 = (-24 + -20n)

Solving
116 = -24 + -20n

Solving for variable 'n'.

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

Add '20n' to each side of the equation.
116 + 20n = -24 + -20n + 20n

Combine like terms: -20n + 20n = 0
116 + 20n = -24 + 0
116 + 20n = -24

Add '-116' to each side of the equation.
116 + -116 + 20n = -24 + -116

Combine like terms: 116 + -116 = 0
0 + 20n = -24 + -116
20n = -24 + -116

Combine like terms: -24 + -116 = -140
20n = -140

Divide each side by '20'.
n = -7

Simplifying
n = -7