n-50.00=0.80(n-100)

Solution for n-50.00=0.80(n-100) equation:

Simplifying
n + -50.00 = 0.80(n + -100)

Reorder the terms:
-50.00 + n = 0.80(n + -100)

Reorder the terms:
-50.00 + n = 0.80(-100 + n)
-50.00 + n = (-100 * 0.80 + n * 0.80)
-50.00 + n = (-80 + 0.80n)

Solving
-50.00 + 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.
-50.00 + n + -0.80n = -80 + 0.80n + -0.80n

Combine like terms: n + -0.80n = 0.2n
-50.00 + 0.2n = -80 + 0.80n + -0.80n

Combine like terms: 0.80n + -0.80n = 0.00
-50.00 + 0.2n = -80 + 0.00
-50.00 + 0.2n = -80

Add '50.00' to each side of the equation.
-50.00 + 50.00 + 0.2n = -80 + 50.00

Combine like terms: -50.00 + 50.00 = 0.00
0.00 + 0.2n = -80 + 50.00
0.2n = -80 + 50.00

Combine like terms: -80 + 50.00 = -30
0.2n = -30

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

Simplifying
n = -150