-30.5+6.5d=-9(8.5d+7.5)

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Solution for -30.5+6.5d=-9(8.5d+7.5) equation: 


Simplifying
-30.5 + 6.5d = -9(8.5d + 7.5)

Reorder the terms:
-30.5 + 6.5d = -9(7.5 + 8.5d)
-30.5 + 6.5d = (7.5 * -9 + 8.5d * -9)
-30.5 + 6.5d = (-67.5 + -76.5d)

Solving
-30.5 + 6.5d = -67.5 + -76.5d

Solving for variable 'd'.

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

Add '76.5d' to each side of the equation.
-30.5 + 6.5d + 76.5d = -67.5 + -76.5d + 76.5d

Combine like terms: 6.5d + 76.5d = 83d
-30.5 + 83d = -67.5 + -76.5d + 76.5d

Combine like terms: -76.5d + 76.5d = 0.0
-30.5 + 83d = -67.5 + 0.0
-30.5 + 83d = -67.5

Add '30.5' to each side of the equation.
-30.5 + 30.5 + 83d = -67.5 + 30.5

Combine like terms: -30.5 + 30.5 = 0.0
0.0 + 83d = -67.5 + 30.5
83d = -67.5 + 30.5

Combine like terms: -67.5 + 30.5 = -37
83d = -37

Divide each side by '83'.
d = -0.4457831325

Simplifying
d = -0.4457831325

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