5d+7-9d+9=8d+12-6d-14

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Solution for 5d+7-9d+9=8d+12-6d-14 equation:


Simplifying
5d + 7 + -9d + 9 = 8d + 12 + -6d + -14

Reorder the terms:
7 + 9 + 5d + -9d = 8d + 12 + -6d + -14

Combine like terms: 7 + 9 = 16
16 + 5d + -9d = 8d + 12 + -6d + -14

Combine like terms: 5d + -9d = -4d
16 + -4d = 8d + 12 + -6d + -14

Reorder the terms:
16 + -4d = 12 + -14 + 8d + -6d

Combine like terms: 12 + -14 = -2
16 + -4d = -2 + 8d + -6d

Combine like terms: 8d + -6d = 2d
16 + -4d = -2 + 2d

Solving
16 + -4d = -2 + 2d

Solving for variable 'd'.

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

Add '-2d' to each side of the equation.
16 + -4d + -2d = -2 + 2d + -2d

Combine like terms: -4d + -2d = -6d
16 + -6d = -2 + 2d + -2d

Combine like terms: 2d + -2d = 0
16 + -6d = -2 + 0
16 + -6d = -2

Add '-16' to each side of the equation.
16 + -16 + -6d = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -6d = -2 + -16
-6d = -2 + -16

Combine like terms: -2 + -16 = -18
-6d = -18

Divide each side by '-6'.
d = 3

Simplifying
d = 3

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