1-0.8(d-6)=0.2(10d-6)

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Solution for 1-0.8(d-6)=0.2(10d-6) equation: 


Simplifying
1 + -0.8(d + -6) = 0.2(10d + -6)

Reorder the terms:
1 + -0.8(-6 + d) = 0.2(10d + -6)
1 + (-6 * -0.8 + d * -0.8) = 0.2(10d + -6)
1 + (4.8 + -0.8d) = 0.2(10d + -6)

Combine like terms: 1 + 4.8 = 5.8
5.8 + -0.8d = 0.2(10d + -6)

Reorder the terms:
5.8 + -0.8d = 0.2(-6 + 10d)
5.8 + -0.8d = (-6 * 0.2 + 10d * 0.2)
5.8 + -0.8d = (-1.2 + 2d)

Solving
5.8 + -0.8d = -1.2 + 2d

Solving for variable 'd'.

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

Add '-2d' to each side of the equation.
5.8 + -0.8d + -2d = -1.2 + 2d + -2d

Combine like terms: -0.8d + -2d = -2.8d
5.8 + -2.8d = -1.2 + 2d + -2d

Combine like terms: 2d + -2d = 0
5.8 + -2.8d = -1.2 + 0
5.8 + -2.8d = -1.2

Add '-5.8' to each side of the equation.
5.8 + -5.8 + -2.8d = -1.2 + -5.8

Combine like terms: 5.8 + -5.8 = 0.0
0.0 + -2.8d = -1.2 + -5.8
-2.8d = -1.2 + -5.8

Combine like terms: -1.2 + -5.8 = -7
-2.8d = -7

Divide each side by '-2.8'.
d = 2.5

Simplifying
d = 2.5

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