2.5(3.5d+7)=-24.5-5.5d

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Solution for 2.5(3.5d+7)=-24.5-5.5d equation: 


Simplifying
2.5(3.5d + 7) = -24.5 + -5.5d

Reorder the terms:
2.5(7 + 3.5d) = -24.5 + -5.5d
(7 * 2.5 + 3.5d * 2.5) = -24.5 + -5.5d
(17.5 + 8.75d) = -24.5 + -5.5d

Solving
17.5 + 8.75d = -24.5 + -5.5d

Solving for variable 'd'.

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

Add '5.5d' to each side of the equation.
17.5 + 8.75d + 5.5d = -24.5 + -5.5d + 5.5d

Combine like terms: 8.75d + 5.5d = 14.25d
17.5 + 14.25d = -24.5 + -5.5d + 5.5d

Combine like terms: -5.5d + 5.5d = 0.0
17.5 + 14.25d = -24.5 + 0.0
17.5 + 14.25d = -24.5

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 14.25d = -24.5 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 14.25d = -24.5 + -17.5
14.25d = -24.5 + -17.5

Combine like terms: -24.5 + -17.5 = -42
14.25d = -42

Divide each side by '14.25'.
d = -2.947368421

Simplifying
d = -2.947368421

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