0.4(d-3)=0.4d+6-2+0.2D

Solution for 0.4(d-3)=0.4d+6-2+0.2D equation:

Simplifying
0.4(d + -3) = 0.4d + 6 + -2 + 0.2D

Reorder the terms:
0.4(-3 + d) = 0.4d + 6 + -2 + 0.2D
(-3 * 0.4 + d * 0.4) = 0.4d + 6 + -2 + 0.2D
(-1.2 + 0.4d) = 0.4d + 6 + -2 + 0.2D

Reorder the terms:
-1.2 + 0.4d = 6 + -2 + 0.2D + 0.4d

Combine like terms: 6 + -2 = 4
-1.2 + 0.4d = 4 + 0.2D + 0.4d

Add '-0.4d' to each side of the equation.
-1.2 + 0.4d + -0.4d = 4 + 0.2D + 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
-1.2 + 0.0 = 4 + 0.2D + 0.4d + -0.4d
-1.2 = 4 + 0.2D + 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
-1.2 = 4 + 0.2D + 0.0
-1.2 = 4 + 0.2D

Solving
-1.2 = 4 + 0.2D

Solving for variable 'D'.

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

Add '-0.2D' to each side of the equation.
-1.2 + -0.2D = 4 + 0.2D + -0.2D

Combine like terms: 0.2D + -0.2D = 0.0
-1.2 + -0.2D = 4 + 0.0
-1.2 + -0.2D = 4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.2D = 4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.2D = 4 + 1.2
-0.2D = 4 + 1.2

Combine like terms: 4 + 1.2 = 5.2
-0.2D = 5.2

Divide each side by '-0.2'.
D = -26

Simplifying
D = -26