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

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


Simplifying
0.05(3d) + 0.10d + 0.25(d + -7) = 16.80

Remove parenthesis around (3d)
0.05 * 3d + 0.10d + 0.25(d + -7) = 16.80

Multiply 0.05 * 3
0.15d + 0.10d + 0.25(d + -7) = 16.80

Reorder the terms:
0.15d + 0.10d + 0.25(-7 + d) = 16.80
0.15d + 0.10d + (-7 * 0.25 + d * 0.25) = 16.80
0.15d + 0.10d + (-1.75 + 0.25d) = 16.80

Reorder the terms:
-1.75 + 0.15d + 0.10d + 0.25d = 16.80

Combine like terms: 0.15d + 0.10d = 0.25d
-1.75 + 0.25d + 0.25d = 16.80

Combine like terms: 0.25d + 0.25d = 0.5d
-1.75 + 0.5d = 16.80

Solving
-1.75 + 0.5d = 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 + 0.5d = 16.80 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + 0.5d = 16.80 + 1.75
0.5d = 16.80 + 1.75

Combine like terms: 16.80 + 1.75 = 18.55
0.5d = 18.55

Divide each side by '0.5'.
d = 37.1

Simplifying
d = 37.1

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