2+7(3-2e)=7-2(6-3e)

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Solution for 2+7(3-2e)=7-2(6-3e) equation: 


Simplifying
2 + 7(3 + -2e) = 7 + -2(6 + -3e)
2 + (3 * 7 + -2e * 7) = 7 + -2(6 + -3e)
2 + (21 + -14e) = 7 + -2(6 + -3e)

Combine like terms: 2 + 21 = 23
23 + -14e = 7 + -2(6 + -3e)
23 + -14e = 7 + (6 * -2 + -3e * -2)
23 + -14e = 7 + (-12 + 6e)

Combine like terms: 7 + -12 = -5
23 + -14e = -5 + 6e

Solving
23 + -14e = -5 + 6e

Solving for variable 'e'.

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

Add '-6e' to each side of the equation.
23 + -14e + -6e = -5 + 6e + -6e

Combine like terms: -14e + -6e = -20e
23 + -20e = -5 + 6e + -6e

Combine like terms: 6e + -6e = 0
23 + -20e = -5 + 0
23 + -20e = -5

Add '-23' to each side of the equation.
23 + -23 + -20e = -5 + -23

Combine like terms: 23 + -23 = 0
0 + -20e = -5 + -23
-20e = -5 + -23

Combine like terms: -5 + -23 = -28
-20e = -28

Divide each side by '-20'.
e = 1.4

Simplifying
e = 1.4

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