34.4=2.5(2d+4)-3d

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Solution for 34.4=2.5(2d+4)-3d equation: 


Simplifying
34.4 = 2.5(2d + 4) + -3d

Reorder the terms:
34.4 = 2.5(4 + 2d) + -3d
34.4 = (4 * 2.5 + 2d * 2.5) + -3d
34.4 = (10 + 5d) + -3d

Combine like terms: 5d + -3d = 2d
34.4 = 10 + 2d

Solving
34.4 = 10 + 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.
34.4 + -2d = 10 + 2d + -2d

Combine like terms: 2d + -2d = 0
34.4 + -2d = 10 + 0
34.4 + -2d = 10

Add '-34.4' to each side of the equation.
34.4 + -34.4 + -2d = 10 + -34.4

Combine like terms: 34.4 + -34.4 = 0.0
0.0 + -2d = 10 + -34.4
-2d = 10 + -34.4

Combine like terms: 10 + -34.4 = -24.4
-2d = -24.4

Divide each side by '-2'.
d = 12.2

Simplifying
d = 12.2

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