.42+.92d-3=3d+7-40

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Solution for .42+.92d-3=3d+7-40 equation:


Simplifying
0.42 + 0.92d + -3 = 3d + 7 + -40

Reorder the terms:
0.42 + -3 + 0.92d = 3d + 7 + -40

Combine like terms: 0.42 + -3 = -2.58
-2.58 + 0.92d = 3d + 7 + -40

Reorder the terms:
-2.58 + 0.92d = 7 + -40 + 3d

Combine like terms: 7 + -40 = -33
-2.58 + 0.92d = -33 + 3d

Solving
-2.58 + 0.92d = -33 + 3d

Solving for variable 'd'.

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

Add '-3d' to each side of the equation.
-2.58 + 0.92d + -3d = -33 + 3d + -3d

Combine like terms: 0.92d + -3d = -2.08d
-2.58 + -2.08d = -33 + 3d + -3d

Combine like terms: 3d + -3d = 0
-2.58 + -2.08d = -33 + 0
-2.58 + -2.08d = -33

Add '2.58' to each side of the equation.
-2.58 + 2.58 + -2.08d = -33 + 2.58

Combine like terms: -2.58 + 2.58 = 0.00
0.00 + -2.08d = -33 + 2.58
-2.08d = -33 + 2.58

Combine like terms: -33 + 2.58 = -30.42
-2.08d = -30.42

Divide each side by '-2.08'.
d = 14.625

Simplifying
d = 14.625

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