5-(3D-2)=4(3D-8)-6

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


Simplifying
5 + -1(3D + -2) = 4(3D + -8) + -6

Reorder the terms:
5 + -1(-2 + 3D) = 4(3D + -8) + -6
5 + (-2 * -1 + 3D * -1) = 4(3D + -8) + -6
5 + (2 + -3D) = 4(3D + -8) + -6

Combine like terms: 5 + 2 = 7
7 + -3D = 4(3D + -8) + -6

Reorder the terms:
7 + -3D = 4(-8 + 3D) + -6
7 + -3D = (-8 * 4 + 3D * 4) + -6
7 + -3D = (-32 + 12D) + -6

Reorder the terms:
7 + -3D = -32 + -6 + 12D

Combine like terms: -32 + -6 = -38
7 + -3D = -38 + 12D

Solving
7 + -3D = -38 + 12D

Solving for variable 'D'.

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

Add '-12D' to each side of the equation.
7 + -3D + -12D = -38 + 12D + -12D

Combine like terms: -3D + -12D = -15D
7 + -15D = -38 + 12D + -12D

Combine like terms: 12D + -12D = 0
7 + -15D = -38 + 0
7 + -15D = -38

Add '-7' to each side of the equation.
7 + -7 + -15D = -38 + -7

Combine like terms: 7 + -7 = 0
0 + -15D = -38 + -7
-15D = -38 + -7

Combine like terms: -38 + -7 = -45
-15D = -45

Divide each side by '-15'.
D = 3

Simplifying
D = 3

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