23.5+6d=-4.5(9d+9.5)

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Solution for 23.5+6d=-4.5(9d+9.5) equation:


Simplifying
23.5 + 6d = -4.5(9d + 9.5)

Reorder the terms:
23.5 + 6d = -4.5(9.5 + 9d)
23.5 + 6d = (9.5 * -4.5 + 9d * -4.5)
23.5 + 6d = (-42.75 + -40.5d)

Solving
23.5 + 6d = -42.75 + -40.5d

Solving for variable 'd'.

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

Add '40.5d' to each side of the equation.
23.5 + 6d + 40.5d = -42.75 + -40.5d + 40.5d

Combine like terms: 6d + 40.5d = 46.5d
23.5 + 46.5d = -42.75 + -40.5d + 40.5d

Combine like terms: -40.5d + 40.5d = 0.0
23.5 + 46.5d = -42.75 + 0.0
23.5 + 46.5d = -42.75

Add '-23.5' to each side of the equation.
23.5 + -23.5 + 46.5d = -42.75 + -23.5

Combine like terms: 23.5 + -23.5 = 0.0
0.0 + 46.5d = -42.75 + -23.5
46.5d = -42.75 + -23.5

Combine like terms: -42.75 + -23.5 = -66.25
46.5d = -66.25

Divide each side by '46.5'.
d = -1.424731183

Simplifying
d = -1.424731183

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