2(3e+1)+3(2+4e)=-2e+20

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Solution for 2(3e+1)+3(2+4e)=-2e+20 equation: 


Simplifying
2(3e + 1) + 3(2 + 4e) = -2e + 20

Reorder the terms:
2(1 + 3e) + 3(2 + 4e) = -2e + 20
(1 * 2 + 3e * 2) + 3(2 + 4e) = -2e + 20
(2 + 6e) + 3(2 + 4e) = -2e + 20
2 + 6e + (2 * 3 + 4e * 3) = -2e + 20
2 + 6e + (6 + 12e) = -2e + 20

Reorder the terms:
2 + 6 + 6e + 12e = -2e + 20

Combine like terms: 2 + 6 = 8
8 + 6e + 12e = -2e + 20

Combine like terms: 6e + 12e = 18e
8 + 18e = -2e + 20

Reorder the terms:
8 + 18e = 20 + -2e

Solving
8 + 18e = 20 + -2e

Solving for variable 'e'.

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

Add '2e' to each side of the equation.
8 + 18e + 2e = 20 + -2e + 2e

Combine like terms: 18e + 2e = 20e
8 + 20e = 20 + -2e + 2e

Combine like terms: -2e + 2e = 0
8 + 20e = 20 + 0
8 + 20e = 20

Add '-8' to each side of the equation.
8 + -8 + 20e = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 20e = 20 + -8
20e = 20 + -8

Combine like terms: 20 + -8 = 12
20e = 12

Divide each side by '20'.
e = 0.6

Simplifying
e = 0.6

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