(500-D)*.75+D*.50=325

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Solution for (500-D)*.75+D*.50=325 equation:


Simplifying
(500 + -1D) * 0.75 + D * 0.50 = 325

Reorder the terms for easier multiplication:
0.75(500 + -1D) + D * 0.50 = 325
(500 * 0.75 + -1D * 0.75) + D * 0.50 = 325
(375 + -0.75D) + D * 0.50 = 325

Reorder the terms for easier multiplication:
375 + -0.75D + 0.50D = 325

Combine like terms: -0.75D + 0.50D = -0.25D
375 + -0.25D = 325

Solving
375 + -0.25D = 325

Solving for variable 'D'.

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

Add '-375' to each side of the equation.
375 + -375 + -0.25D = 325 + -375

Combine like terms: 375 + -375 = 0
0 + -0.25D = 325 + -375
-0.25D = 325 + -375

Combine like terms: 325 + -375 = -50
-0.25D = -50

Divide each side by '-0.25'.
D = 200

Simplifying
D = 200

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