0.2(d-7)=0.3d+5-4+0.5d

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Solution for 0.2(d-7)=0.3d+5-4+0.5d equation: 


Simplifying
0.2(d + -7) = 0.3d + 5 + -4 + 0.5d

Reorder the terms:
0.2(-7 + d) = 0.3d + 5 + -4 + 0.5d
(-7 * 0.2 + d * 0.2) = 0.3d + 5 + -4 + 0.5d
(-1.4 + 0.2d) = 0.3d + 5 + -4 + 0.5d

Reorder the terms:
-1.4 + 0.2d = 5 + -4 + 0.3d + 0.5d

Combine like terms: 5 + -4 = 1
-1.4 + 0.2d = 1 + 0.3d + 0.5d

Combine like terms: 0.3d + 0.5d = 0.8d
-1.4 + 0.2d = 1 + 0.8d

Solving
-1.4 + 0.2d = 1 + 0.8d

Solving for variable 'd'.

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

Add '-0.8d' to each side of the equation.
-1.4 + 0.2d + -0.8d = 1 + 0.8d + -0.8d

Combine like terms: 0.2d + -0.8d = -0.6d
-1.4 + -0.6d = 1 + 0.8d + -0.8d

Combine like terms: 0.8d + -0.8d = 0.0
-1.4 + -0.6d = 1 + 0.0
-1.4 + -0.6d = 1

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.6d = 1 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.6d = 1 + 1.4
-0.6d = 1 + 1.4

Combine like terms: 1 + 1.4 = 2.4
-0.6d = 2.4

Divide each side by '-0.6'.
d = -4

Simplifying
d = -4

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