15.5-4.5d=-2(5.5d-4)

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Solution for 15.5-4.5d=-2(5.5d-4) equation: 


Simplifying
15.5 + -4.5d = -2(5.5d + -4)

Reorder the terms:
15.5 + -4.5d = -2(-4 + 5.5d)
15.5 + -4.5d = (-4 * -2 + 5.5d * -2)
15.5 + -4.5d = (8 + -11d)

Solving
15.5 + -4.5d = 8 + -11d

Solving for variable 'd'.

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

Add '11d' to each side of the equation.
15.5 + -4.5d + 11d = 8 + -11d + 11d

Combine like terms: -4.5d + 11d = 6.5d
15.5 + 6.5d = 8 + -11d + 11d

Combine like terms: -11d + 11d = 0
15.5 + 6.5d = 8 + 0
15.5 + 6.5d = 8

Add '-15.5' to each side of the equation.
15.5 + -15.5 + 6.5d = 8 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 6.5d = 8 + -15.5
6.5d = 8 + -15.5

Combine like terms: 8 + -15.5 = -7.5
6.5d = -7.5

Divide each side by '6.5'.
d = -1.153846154

Simplifying
d = -1.153846154

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