.05(3d)+10d+.25(7-d)=16.80

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Solution for .05(3d)+10d+.25(7-d)=16.80 equation: 


Simplifying
0.05(3d) + 10d + 0.25(7 + -1d) = 16.80

Remove parenthesis around (3d)
0.05 * 3d + 10d + 0.25(7 + -1d) = 16.80

Multiply 0.05 * 3
0.15d + 10d + 0.25(7 + -1d) = 16.80
0.15d + 10d + (7 * 0.25 + -1d * 0.25) = 16.80
0.15d + 10d + (1.75 + -0.25d) = 16.80

Reorder the terms:
1.75 + 0.15d + 10d + -0.25d = 16.80

Combine like terms: 0.15d + 10d = 10.15d
1.75 + 10.15d + -0.25d = 16.80

Combine like terms: 10.15d + -0.25d = 9.9d
1.75 + 9.9d = 16.80

Solving
1.75 + 9.9d = 16.80

Solving for variable 'd'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + 9.9d = 16.80 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 9.9d = 16.80 + -1.75
9.9d = 16.80 + -1.75

Combine like terms: 16.80 + -1.75 = 15.05
9.9d = 15.05

Divide each side by '9.9'.
d = 1.52020202

Simplifying
d = 1.52020202

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