n-50=0.80(n-100.00)

Solution for n-50=0.80(n-100.00) equation:

Simplifying
n + -50 = 0.80(n + -100.00)

Reorder the terms:
-50 + n = 0.80(n + -100.00)

Reorder the terms:
-50 + n = 0.80(-100.00 + n)
-50 + n = (-100.00 * 0.80 + n * 0.80)
-50 + n = (-80 + 0.80n)

Solving
-50 + n = -80 + 0.80n

Solving for variable 'n'.

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

Add '-0.80n' to each side of the equation.
-50 + n + -0.80n = -80 + 0.80n + -0.80n

Combine like terms: n + -0.80n = 0.2n
-50 + 0.2n = -80 + 0.80n + -0.80n

Combine like terms: 0.80n + -0.80n = 0.00
-50 + 0.2n = -80 + 0.00
-50 + 0.2n = -80

Add '50' to each side of the equation.
-50 + 50 + 0.2n = -80 + 50

Combine like terms: -50 + 50 = 0
0 + 0.2n = -80 + 50
0.2n = -80 + 50

Combine like terms: -80 + 50 = -30
0.2n = -30

Divide each side by '0.2'.
n = -150

Simplifying
n = -150