.05(1026-D)+.1D=78.90

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Solution for .05(1026-D)+.1D=78.90 equation: 


Simplifying
0.05(1026 + -1D) + 0.1D = 78.90
(1026 * 0.05 + -1D * 0.05) + 0.1D = 78.90
(51.3 + -0.05D) + 0.1D = 78.90

Combine like terms: -0.05D + 0.1D = 0.05D
51.3 + 0.05D = 78.90

Solving
51.3 + 0.05D = 78.90

Solving for variable 'D'.

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

Add '-51.3' to each side of the equation.
51.3 + -51.3 + 0.05D = 78.90 + -51.3

Combine like terms: 51.3 + -51.3 = 0.0
0.0 + 0.05D = 78.90 + -51.3
0.05D = 78.90 + -51.3

Combine like terms: 78.90 + -51.3 = 27.6
0.05D = 27.6

Divide each side by '0.05'.
D = 552

Simplifying
D = 552

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