in an equal or identical manner: to treat rich and poor equally.
to an equal degree or extent: You are equally matched.

1350–1400; Middle English; see equal, -ly

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equal (ˈiːkwəl)
adj (often foll by to or with)
1.  identical in size, quantity, degree, intensity, etc; the same (as)
2.  having identical privileges, rights, status, etc: all men are equal before the law
3.  having uniform effect or application: equal opportunities
4.  evenly balanced or proportioned: the game was equal between the teams
5.  (usually foll by to) having the necessary or adequate strength, ability, means, etc (for): to be equal to one's work
6.  another word for equivalent
7.  a person or thing equal to another, esp in merit, ability, etc: he has no equal when it comes to boxing
vb (usually foll by out) , equals, equalling, equalled, equals, equaling, equaled
8.  (tr) to be equal to; correspond to; match: my offer equals his
9.  to become equal or level
10.  (tr) to make, perform, or do something equal to: to equal the world record
11.  archaic (tr) to make equal
[C14: from Latin aequālis, from aequus level, of obscure origin]
usage  The use of more equal as in from now on their relationship will be a more equal one is acceptable in modern English usage. Equally is preferred to equally as in sentences such as reassuring the victims is equally important. Just as is preferred to equally as in sentences such as their surprise was just as great as his

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

late 14c., from equal + -ly (2).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Dolloped with an equally simple fruit topping, it completely satisfies my
Finally, the desperate editor sent an equally desperate illustrator to search
  out the writer.
Selling fruits and veggies in boxes that don't leach chemicals into landfills
  sounds equally wonderful.
There seem to be a lot of ways to go crazy with food-crackers and nutty
  included-and they are of equally mysterious origin.
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