3(2e-4)+1=-5e+11

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Solution for 3(2e-4)+1=-5e+11 equation: 


Simplifying
3(2e + -4) + 1 = -5e + 11

Reorder the terms:
3(-4 + 2e) + 1 = -5e + 11
(-4 * 3 + 2e * 3) + 1 = -5e + 11
(-12 + 6e) + 1 = -5e + 11

Reorder the terms:
-12 + 1 + 6e = -5e + 11

Combine like terms: -12 + 1 = -11
-11 + 6e = -5e + 11

Reorder the terms:
-11 + 6e = 11 + -5e

Solving
-11 + 6e = 11 + -5e

Solving for variable 'e'.

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

Add '5e' to each side of the equation.
-11 + 6e + 5e = 11 + -5e + 5e

Combine like terms: 6e + 5e = 11e
-11 + 11e = 11 + -5e + 5e

Combine like terms: -5e + 5e = 0
-11 + 11e = 11 + 0
-11 + 11e = 11

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

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

Combine like terms: 11 + 11 = 22
11e = 22

Divide each side by '11'.
e = 2

Simplifying
e = 2

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