3(d+4)=2(d-8)+6d

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Solution for 3(d+4)=2(d-8)+6d equation:


Simplifying
3(d + 4) = 2(d + -8) + 6d

Reorder the terms:
3(4 + d) = 2(d + -8) + 6d
(4 * 3 + d * 3) = 2(d + -8) + 6d
(12 + 3d) = 2(d + -8) + 6d

Reorder the terms:
12 + 3d = 2(-8 + d) + 6d
12 + 3d = (-8 * 2 + d * 2) + 6d
12 + 3d = (-16 + 2d) + 6d

Combine like terms: 2d + 6d = 8d
12 + 3d = -16 + 8d

Solving
12 + 3d = -16 + 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.
12 + 3d + -8d = -16 + 8d + -8d

Combine like terms: 3d + -8d = -5d
12 + -5d = -16 + 8d + -8d

Combine like terms: 8d + -8d = 0
12 + -5d = -16 + 0
12 + -5d = -16

Add '-12' to each side of the equation.
12 + -12 + -5d = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -5d = -16 + -12
-5d = -16 + -12

Combine like terms: -16 + -12 = -28
-5d = -28

Divide each side by '-5'.
d = 5.6

Simplifying
d = 5.6

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