11=8(5-e)+3(3e-11)

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Solution for 11=8(5-e)+3(3e-11) equation: 


Simplifying
11 = 8(5 + -1e) + 3(3e + -11)
11 = (5 * 8 + -1e * 8) + 3(3e + -11)
11 = (40 + -8e) + 3(3e + -11)

Reorder the terms:
11 = 40 + -8e + 3(-11 + 3e)
11 = 40 + -8e + (-11 * 3 + 3e * 3)
11 = 40 + -8e + (-33 + 9e)

Reorder the terms:
11 = 40 + -33 + -8e + 9e

Combine like terms: 40 + -33 = 7
11 = 7 + -8e + 9e

Combine like terms: -8e + 9e = 1e
11 = 7 + 1e

Solving
11 = 7 + 1e

Solving for variable 'e'.

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

Add '-1e' to each side of the equation.
11 + -1e = 7 + 1e + -1e

Combine like terms: 1e + -1e = 0
11 + -1e = 7 + 0
11 + -1e = 7

Add '-11' to each side of the equation.
11 + -11 + -1e = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -1e = 7 + -11
-1e = 7 + -11

Combine like terms: 7 + -11 = -4
-1e = -4

Divide each side by '-1'.
e = 4

Simplifying
e = 4

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