20.5+2d=-5(6.5d-9.5)

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Solution for 20.5+2d=-5(6.5d-9.5) equation: 


Simplifying
20.5 + 2d = -5(6.5d + -9.5)

Reorder the terms:
20.5 + 2d = -5(-9.5 + 6.5d)
20.5 + 2d = (-9.5 * -5 + 6.5d * -5)
20.5 + 2d = (47.5 + -32.5d)

Solving
20.5 + 2d = 47.5 + -32.5d

Solving for variable 'd'.

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

Add '32.5d' to each side of the equation.
20.5 + 2d + 32.5d = 47.5 + -32.5d + 32.5d

Combine like terms: 2d + 32.5d = 34.5d
20.5 + 34.5d = 47.5 + -32.5d + 32.5d

Combine like terms: -32.5d + 32.5d = 0.0
20.5 + 34.5d = 47.5 + 0.0
20.5 + 34.5d = 47.5

Add '-20.5' to each side of the equation.
20.5 + -20.5 + 34.5d = 47.5 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + 34.5d = 47.5 + -20.5
34.5d = 47.5 + -20.5

Combine like terms: 47.5 + -20.5 = 27
34.5d = 27

Divide each side by '34.5'.
d = 0.7826086957

Simplifying
d = 0.7826086957

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