5d-4(d-9)=3d-(9-d)

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Solution for 5d-4(d-9)=3d-(9-d) equation: 


Simplifying
5d + -4(d + -9) = 3d + -1(9 + -1d)

Reorder the terms:
5d + -4(-9 + d) = 3d + -1(9 + -1d)
5d + (-9 * -4 + d * -4) = 3d + -1(9 + -1d)
5d + (36 + -4d) = 3d + -1(9 + -1d)

Reorder the terms:
36 + 5d + -4d = 3d + -1(9 + -1d)

Combine like terms: 5d + -4d = 1d
36 + 1d = 3d + -1(9 + -1d)
36 + 1d = 3d + (9 * -1 + -1d * -1)
36 + 1d = 3d + (-9 + 1d)

Reorder the terms:
36 + 1d = -9 + 3d + 1d

Combine like terms: 3d + 1d = 4d
36 + 1d = -9 + 4d

Solving
36 + 1d = -9 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
36 + 1d + -4d = -9 + 4d + -4d

Combine like terms: 1d + -4d = -3d
36 + -3d = -9 + 4d + -4d

Combine like terms: 4d + -4d = 0
36 + -3d = -9 + 0
36 + -3d = -9

Add '-36' to each side of the equation.
36 + -36 + -3d = -9 + -36

Combine like terms: 36 + -36 = 0
0 + -3d = -9 + -36
-3d = -9 + -36

Combine like terms: -9 + -36 = -45
-3d = -45

Divide each side by '-3'.
d = 15

Simplifying
d = 15

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