9(3d+4)=8(d-5)

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Solution for 9(3d+4)=8(d-5) equation: 


Simplifying
9(3d + 4) = 8(d + -5)

Reorder the terms:
9(4 + 3d) = 8(d + -5)
(4 * 9 + 3d * 9) = 8(d + -5)
(36 + 27d) = 8(d + -5)

Reorder the terms:
36 + 27d = 8(-5 + d)
36 + 27d = (-5 * 8 + d * 8)
36 + 27d = (-40 + 8d)

Solving
36 + 27d = -40 + 8d

Solving for variable 'd'.

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

Add '-8d' to each side of the equation.
36 + 27d + -8d = -40 + 8d + -8d

Combine like terms: 27d + -8d = 19d
36 + 19d = -40 + 8d + -8d

Combine like terms: 8d + -8d = 0
36 + 19d = -40 + 0
36 + 19d = -40

Add '-36' to each side of the equation.
36 + -36 + 19d = -40 + -36

Combine like terms: 36 + -36 = 0
0 + 19d = -40 + -36
19d = -40 + -36

Combine like terms: -40 + -36 = -76
19d = -76

Divide each side by '19'.
d = -4

Simplifying
d = -4

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