6+7e-4=4e+8

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Solution for 6+7e-4=4e+8 equation: 


Simplifying
6 + 7e + -4 = 4e + 8

Reorder the terms:
6 + -4 + 7e = 4e + 8

Combine like terms: 6 + -4 = 2
2 + 7e = 4e + 8

Reorder the terms:
2 + 7e = 8 + 4e

Solving
2 + 7e = 8 + 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.
2 + 7e + -4e = 8 + 4e + -4e

Combine like terms: 7e + -4e = 3e
2 + 3e = 8 + 4e + -4e

Combine like terms: 4e + -4e = 0
2 + 3e = 8 + 0
2 + 3e = 8

Add '-2' to each side of the equation.
2 + -2 + 3e = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 3e = 8 + -2
3e = 8 + -2

Combine like terms: 8 + -2 = 6
3e = 6

Divide each side by '3'.
e = 2

Simplifying
e = 2

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