0.5d+0.25(8000-d)=0.25(3000)

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Solution for 0.5d+0.25(8000-d)=0.25(3000) equation: 


Simplifying
0.5d + 0.25(8000 + -1d) = 0.25(3000)
0.5d + (8000 * 0.25 + -1d * 0.25) = 0.25(3000)
0.5d + (2000 + -0.25d) = 0.25(3000)

Reorder the terms:
2000 + 0.5d + -0.25d = 0.25(3000)

Combine like terms: 0.5d + -0.25d = 0.25d
2000 + 0.25d = 0.25(3000)

Multiply 0.25 * 3000
2000 + 0.25d = 750

Solving
2000 + 0.25d = 750

Solving for variable 'd'.

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

Add '-2000' to each side of the equation.
2000 + -2000 + 0.25d = 750 + -2000

Combine like terms: 2000 + -2000 = 0
0 + 0.25d = 750 + -2000
0.25d = 750 + -2000

Combine like terms: 750 + -2000 = -1250
0.25d = -1250

Divide each side by '0.25'.
d = -5000

Simplifying
d = -5000

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