20(8e-2)=17(8e+16)

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Solution for 20(8e-2)=17(8e+16) equation: 


Simplifying
20(8e + -2) = 17(8e + 16)

Reorder the terms:
20(-2 + 8e) = 17(8e + 16)
(-2 * 20 + 8e * 20) = 17(8e + 16)
(-40 + 160e) = 17(8e + 16)

Reorder the terms:
-40 + 160e = 17(16 + 8e)
-40 + 160e = (16 * 17 + 8e * 17)
-40 + 160e = (272 + 136e)

Solving
-40 + 160e = 272 + 136e

Solving for variable 'e'.

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

Add '-136e' to each side of the equation.
-40 + 160e + -136e = 272 + 136e + -136e

Combine like terms: 160e + -136e = 24e
-40 + 24e = 272 + 136e + -136e

Combine like terms: 136e + -136e = 0
-40 + 24e = 272 + 0
-40 + 24e = 272

Add '40' to each side of the equation.
-40 + 40 + 24e = 272 + 40

Combine like terms: -40 + 40 = 0
0 + 24e = 272 + 40
24e = 272 + 40

Combine like terms: 272 + 40 = 312
24e = 312

Divide each side by '24'.
e = 13

Simplifying
e = 13

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