3(d-8)-5=(9d+2)+1

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Solution for 3(d-8)-5=(9d+2)+1 equation: 


Simplifying
3(d + -8) + -5 = (9d + 2) + 1

Reorder the terms:
3(-8 + d) + -5 = (9d + 2) + 1
(-8 * 3 + d * 3) + -5 = (9d + 2) + 1
(-24 + 3d) + -5 = (9d + 2) + 1

Reorder the terms:
-24 + -5 + 3d = (9d + 2) + 1

Combine like terms: -24 + -5 = -29
-29 + 3d = (9d + 2) + 1

Reorder the terms:
-29 + 3d = (2 + 9d) + 1

Remove parenthesis around (2 + 9d)
-29 + 3d = 2 + 9d + 1

Reorder the terms:
-29 + 3d = 2 + 1 + 9d

Combine like terms: 2 + 1 = 3
-29 + 3d = 3 + 9d

Solving
-29 + 3d = 3 + 9d

Solving for variable 'd'.

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

Add '-9d' to each side of the equation.
-29 + 3d + -9d = 3 + 9d + -9d

Combine like terms: 3d + -9d = -6d
-29 + -6d = 3 + 9d + -9d

Combine like terms: 9d + -9d = 0
-29 + -6d = 3 + 0
-29 + -6d = 3

Add '29' to each side of the equation.
-29 + 29 + -6d = 3 + 29

Combine like terms: -29 + 29 = 0
0 + -6d = 3 + 29
-6d = 3 + 29

Combine like terms: 3 + 29 = 32
-6d = 32

Divide each side by '-6'.
d = -5.333333333

Simplifying
d = -5.333333333

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