-5.5(7.5d+3.5)=21.5-4.5d

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Solution for -5.5(7.5d+3.5)=21.5-4.5d equation: 


Simplifying
-5.5(7.5d + 3.5) = 21.5 + -4.5d

Reorder the terms:
-5.5(3.5 + 7.5d) = 21.5 + -4.5d
(3.5 * -5.5 + 7.5d * -5.5) = 21.5 + -4.5d
(-19.25 + -41.25d) = 21.5 + -4.5d

Solving
-19.25 + -41.25d = 21.5 + -4.5d

Solving for variable 'd'.

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

Add '4.5d' to each side of the equation.
-19.25 + -41.25d + 4.5d = 21.5 + -4.5d + 4.5d

Combine like terms: -41.25d + 4.5d = -36.75d
-19.25 + -36.75d = 21.5 + -4.5d + 4.5d

Combine like terms: -4.5d + 4.5d = 0.0
-19.25 + -36.75d = 21.5 + 0.0
-19.25 + -36.75d = 21.5

Add '19.25' to each side of the equation.
-19.25 + 19.25 + -36.75d = 21.5 + 19.25

Combine like terms: -19.25 + 19.25 = 0.00
0.00 + -36.75d = 21.5 + 19.25
-36.75d = 21.5 + 19.25

Combine like terms: 21.5 + 19.25 = 40.75
-36.75d = 40.75

Divide each side by '-36.75'.
d = -1.108843537

Simplifying
d = -1.108843537

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