7.1e+3(e-6)=.5e+22.8

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Solution for 7.1e+3(e-6)=.5e+22.8 equation: 


Simplifying
7.1e + 3(e + -6) = 0.5e + 22.8

Reorder the terms:
7.1e + 3(-6 + e) = 0.5e + 22.8
7.1e + (-6 * 3 + e * 3) = 0.5e + 22.8
7.1e + (-18 + 3e) = 0.5e + 22.8

Reorder the terms:
-18 + 7.1e + 3e = 0.5e + 22.8

Combine like terms: 7.1e + 3e = 10.1e
-18 + 10.1e = 0.5e + 22.8

Reorder the terms:
-18 + 10.1e = 22.8 + 0.5e

Solving
-18 + 10.1e = 22.8 + 0.5e

Solving for variable 'e'.

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

Add '-0.5e' to each side of the equation.
-18 + 10.1e + -0.5e = 22.8 + 0.5e + -0.5e

Combine like terms: 10.1e + -0.5e = 9.6e
-18 + 9.6e = 22.8 + 0.5e + -0.5e

Combine like terms: 0.5e + -0.5e = 0.0
-18 + 9.6e = 22.8 + 0.0
-18 + 9.6e = 22.8

Add '18' to each side of the equation.
-18 + 18 + 9.6e = 22.8 + 18

Combine like terms: -18 + 18 = 0
0 + 9.6e = 22.8 + 18
9.6e = 22.8 + 18

Combine like terms: 22.8 + 18 = 40.8
9.6e = 40.8

Divide each side by '9.6'.
e = 4.25

Simplifying
e = 4.25

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