-4(3d+9)=24+7d

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Solution for -4(3d+9)=24+7d equation:


Simplifying
-4(3d + 9) = 24 + 7d

Reorder the terms:
-4(9 + 3d) = 24 + 7d
(9 * -4 + 3d * -4) = 24 + 7d
(-36 + -12d) = 24 + 7d

Solving
-36 + -12d = 24 + 7d

Solving for variable 'd'.

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

Add '-7d' to each side of the equation.
-36 + -12d + -7d = 24 + 7d + -7d

Combine like terms: -12d + -7d = -19d
-36 + -19d = 24 + 7d + -7d

Combine like terms: 7d + -7d = 0
-36 + -19d = 24 + 0
-36 + -19d = 24

Add '36' to each side of the equation.
-36 + 36 + -19d = 24 + 36

Combine like terms: -36 + 36 = 0
0 + -19d = 24 + 36
-19d = 24 + 36

Combine like terms: 24 + 36 = 60
-19d = 60

Divide each side by '-19'.
d = -3.157894737

Simplifying
d = -3.157894737

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