3d+5=4(2d-6)-8

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Solution for 3d+5=4(2d-6)-8 equation:


Simplifying
3d + 5 = 4(2d + -6) + -8

Reorder the terms:
5 + 3d = 4(2d + -6) + -8

Reorder the terms:
5 + 3d = 4(-6 + 2d) + -8
5 + 3d = (-6 * 4 + 2d * 4) + -8
5 + 3d = (-24 + 8d) + -8

Reorder the terms:
5 + 3d = -24 + -8 + 8d

Combine like terms: -24 + -8 = -32
5 + 3d = -32 + 8d

Solving
5 + 3d = -32 + 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.
5 + 3d + -8d = -32 + 8d + -8d

Combine like terms: 3d + -8d = -5d
5 + -5d = -32 + 8d + -8d

Combine like terms: 8d + -8d = 0
5 + -5d = -32 + 0
5 + -5d = -32

Add '-5' to each side of the equation.
5 + -5 + -5d = -32 + -5

Combine like terms: 5 + -5 = 0
0 + -5d = -32 + -5
-5d = -32 + -5

Combine like terms: -32 + -5 = -37
-5d = -37

Divide each side by '-5'.
d = 7.4

Simplifying
d = 7.4

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