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

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


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

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

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

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

Combine like terms: 1 + 0.5 = 1.5
-1.4 + 0.2d = 1.5 + 0.3d

Solving
-1.4 + 0.2d = 1.5 + 0.3d

Solving for variable 'd'.

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

Add '-0.3d' to each side of the equation.
-1.4 + 0.2d + -0.3d = 1.5 + 0.3d + -0.3d

Combine like terms: 0.2d + -0.3d = -0.1d
-1.4 + -0.1d = 1.5 + 0.3d + -0.3d

Combine like terms: 0.3d + -0.3d = 0.0
-1.4 + -0.1d = 1.5 + 0.0
-1.4 + -0.1d = 1.5

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.1d = 1.5 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.1d = 1.5 + 1.4
-0.1d = 1.5 + 1.4

Combine like terms: 1.5 + 1.4 = 2.9
-0.1d = 2.9

Divide each side by '-0.1'.
d = -29

Simplifying
d = -29

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