0.1d+0.25(d-7)+0.05(d-7)=8.55

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Solution for 0.1d+0.25(d-7)+0.05(d-7)=8.55 equation: 


Simplifying
0.1d + 0.25(d + -7) + 0.05(d + -7) = 8.55

Reorder the terms:
0.1d + 0.25(-7 + d) + 0.05(d + -7) = 8.55
0.1d + (-7 * 0.25 + d * 0.25) + 0.05(d + -7) = 8.55
0.1d + (-1.75 + 0.25d) + 0.05(d + -7) = 8.55

Reorder the terms:
0.1d + -1.75 + 0.25d + 0.05(-7 + d) = 8.55
0.1d + -1.75 + 0.25d + (-7 * 0.05 + d * 0.05) = 8.55
0.1d + -1.75 + 0.25d + (-0.35 + 0.05d) = 8.55

Reorder the terms:
-1.75 + -0.35 + 0.1d + 0.25d + 0.05d = 8.55

Combine like terms: -1.75 + -0.35 = -2.1
-2.1 + 0.1d + 0.25d + 0.05d = 8.55

Combine like terms: 0.1d + 0.25d = 0.35d
-2.1 + 0.35d + 0.05d = 8.55

Combine like terms: 0.35d + 0.05d = 0.4d
-2.1 + 0.4d = 8.55

Solving
-2.1 + 0.4d = 8.55

Solving for variable 'd'.

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

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 0.4d = 8.55 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 0.4d = 8.55 + 2.1
0.4d = 8.55 + 2.1

Combine like terms: 8.55 + 2.1 = 10.65
0.4d = 10.65

Divide each side by '0.4'.
d = 26.625

Simplifying
d = 26.625

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