11.3(e+7)=7.5e+101.9

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Solution for 11.3(e+7)=7.5e+101.9 equation: 


Simplifying
11.3(e + 7) = 7.5e + 101.9

Reorder the terms:
11.3(7 + e) = 7.5e + 101.9
(7 * 11.3 + e * 11.3) = 7.5e + 101.9
(79.1 + 11.3e) = 7.5e + 101.9

Reorder the terms:
79.1 + 11.3e = 101.9 + 7.5e

Solving
79.1 + 11.3e = 101.9 + 7.5e

Solving for variable 'e'.

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

Add '-7.5e' to each side of the equation.
79.1 + 11.3e + -7.5e = 101.9 + 7.5e + -7.5e

Combine like terms: 11.3e + -7.5e = 3.8e
79.1 + 3.8e = 101.9 + 7.5e + -7.5e

Combine like terms: 7.5e + -7.5e = 0.0
79.1 + 3.8e = 101.9 + 0.0
79.1 + 3.8e = 101.9

Add '-79.1' to each side of the equation.
79.1 + -79.1 + 3.8e = 101.9 + -79.1

Combine like terms: 79.1 + -79.1 = 0.0
0.0 + 3.8e = 101.9 + -79.1
3.8e = 101.9 + -79.1

Combine like terms: 101.9 + -79.1 = 22.8
3.8e = 22.8

Divide each side by '3.8'.
e = 6

Simplifying
e = 6

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