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

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


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

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

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

Combine like terms: 24 + -5 = 19
19 + 3d = 9(d + 2) + 2

Reorder the terms:
19 + 3d = 9(2 + d) + 2
19 + 3d = (2 * 9 + d * 9) + 2
19 + 3d = (18 + 9d) + 2

Reorder the terms:
19 + 3d = 18 + 2 + 9d

Combine like terms: 18 + 2 = 20
19 + 3d = 20 + 9d

Solving
19 + 3d = 20 + 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.
19 + 3d + -9d = 20 + 9d + -9d

Combine like terms: 3d + -9d = -6d
19 + -6d = 20 + 9d + -9d

Combine like terms: 9d + -9d = 0
19 + -6d = 20 + 0
19 + -6d = 20

Add '-19' to each side of the equation.
19 + -19 + -6d = 20 + -19

Combine like terms: 19 + -19 = 0
0 + -6d = 20 + -19
-6d = 20 + -19

Combine like terms: 20 + -19 = 1
-6d = 1

Divide each side by '-6'.
d = -0.1666666667

Simplifying
d = -0.1666666667

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