d-50.00=.80(d-100)

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Solution for d-50.00=.80(d-100) equation:


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

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

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

Solving
-50.00 + d = -80 + 0.80d

Solving for variable 'd'.

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

Add '-0.80d' to each side of the equation.
-50.00 + d + -0.80d = -80 + 0.80d + -0.80d

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

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

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

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

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

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

Simplifying
d = -150

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