38-4e-5+2e=4e-21

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Solution for 38-4e-5+2e=4e-21 equation: 


Simplifying
38 + -4e + -5 + 2e = 4e + -21

Reorder the terms:
38 + -5 + -4e + 2e = 4e + -21

Combine like terms: 38 + -5 = 33
33 + -4e + 2e = 4e + -21

Combine like terms: -4e + 2e = -2e
33 + -2e = 4e + -21

Reorder the terms:
33 + -2e = -21 + 4e

Solving
33 + -2e = -21 + 4e

Solving for variable 'e'.

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

Add '-4e' to each side of the equation.
33 + -2e + -4e = -21 + 4e + -4e

Combine like terms: -2e + -4e = -6e
33 + -6e = -21 + 4e + -4e

Combine like terms: 4e + -4e = 0
33 + -6e = -21 + 0
33 + -6e = -21

Add '-33' to each side of the equation.
33 + -33 + -6e = -21 + -33

Combine like terms: 33 + -33 = 0
0 + -6e = -21 + -33
-6e = -21 + -33

Combine like terms: -21 + -33 = -54
-6e = -54

Divide each side by '-6'.
e = 9

Simplifying
e = 9

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