.6(d+4)-.2=.1(d-6)+.8

Solution for .6(d+4)-.2=.1(d-6)+.8 equation:

Simplifying
0.6(d + 4) + -0.2 = 0.1(d + -6) + 0.8

Reorder the terms:
0.6(4 + d) + -0.2 = 0.1(d + -6) + 0.8
(4 * 0.6 + d * 0.6) + -0.2 = 0.1(d + -6) + 0.8
(2.4 + 0.6d) + -0.2 = 0.1(d + -6) + 0.8

Reorder the terms:
2.4 + -0.2 + 0.6d = 0.1(d + -6) + 0.8

Combine like terms: 2.4 + -0.2 = 2.2
2.2 + 0.6d = 0.1(d + -6) + 0.8

Reorder the terms:
2.2 + 0.6d = 0.1(-6 + d) + 0.8
2.2 + 0.6d = (-6 * 0.1 + d * 0.1) + 0.8
2.2 + 0.6d = (-0.6 + 0.1d) + 0.8

Reorder the terms:
2.2 + 0.6d = -0.6 + 0.8 + 0.1d

Combine like terms: -0.6 + 0.8 = 0.2
2.2 + 0.6d = 0.2 + 0.1d

Solving
2.2 + 0.6d = 0.2 + 0.1d

Solving for variable 'd'.

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

Add '-0.1d' to each side of the equation.
2.2 + 0.6d + -0.1d = 0.2 + 0.1d + -0.1d

Combine like terms: 0.6d + -0.1d = 0.5d
2.2 + 0.5d = 0.2 + 0.1d + -0.1d

Combine like terms: 0.1d + -0.1d = 0.0
2.2 + 0.5d = 0.2 + 0.0
2.2 + 0.5d = 0.2

Add '-2.2' to each side of the equation.
2.2 + -2.2 + 0.5d = 0.2 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 0.5d = 0.2 + -2.2
0.5d = 0.2 + -2.2

Combine like terms: 0.2 + -2.2 = -2
0.5d = -2

Divide each side by '0.5'.
d = -4

Simplifying
d = -4