3(5.5d+7.5)=18.5+9.5d

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Solution for 3(5.5d+7.5)=18.5+9.5d equation: 


Simplifying
3(5.5d + 7.5) = 18.5 + 9.5d

Reorder the terms:
3(7.5 + 5.5d) = 18.5 + 9.5d
(7.5 * 3 + 5.5d * 3) = 18.5 + 9.5d
(22.5 + 16.5d) = 18.5 + 9.5d

Solving
22.5 + 16.5d = 18.5 + 9.5d

Solving for variable 'd'.

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

Add '-9.5d' to each side of the equation.
22.5 + 16.5d + -9.5d = 18.5 + 9.5d + -9.5d

Combine like terms: 16.5d + -9.5d = 7d
22.5 + 7d = 18.5 + 9.5d + -9.5d

Combine like terms: 9.5d + -9.5d = 0.0
22.5 + 7d = 18.5 + 0.0
22.5 + 7d = 18.5

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 7d = 18.5 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 7d = 18.5 + -22.5
7d = 18.5 + -22.5

Combine like terms: 18.5 + -22.5 = -4
7d = -4

Divide each side by '7'.
d = -0.5714285714

Simplifying
d = -0.5714285714

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