100[0.9(z+10)]=

Solution for 100[0.9(z+10)]= equation:

Simplifying
100[0.9(z + 10)] = 0

Reorder the terms:
100[0.9(10 + z)] = 0
100[(10 * 0.9 + z * 0.9)] = 0
100[(9 + 0.9z)] = 0
[9 * 100 + 0.9z * 100] = 0
[900 + 90z] = 0

Solving
900 + 90z = 0

Solving for variable 'z'.

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

Add '-900' to each side of the equation.
900 + -900 + 90z = 0 + -900

Combine like terms: 900 + -900 = 0
0 + 90z = 0 + -900
90z = 0 + -900

Combine like terms: 0 + -900 = -900
90z = -900

Divide each side by '90'.
z = -10

Simplifying
z = -10