-10(n-5)=100

Solution for -10(n-5)=100 equation:

Simplifying
-10(n + -5) = 100

Reorder the terms:
-10(-5 + n) = 100
(-5 * -10 + n * -10) = 100
(50 + -10n) = 100

Solving
50 + -10n = 100

Solving for variable 'n'.

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

Add '-50' to each side of the equation.
50 + -50 + -10n = 100 + -50

Combine like terms: 50 + -50 = 0
0 + -10n = 100 + -50
-10n = 100 + -50

Combine like terms: 100 + -50 = 50
-10n = 50

Divide each side by '-10'.
n = -5

Simplifying
n = -5