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Verified Answer :

A=2

First simplify

Regroup terms

Simplify

Subtract 9

Simplify

Addc18a

Simplify

Divide both side by 17

Simplify 34/17

\(3a-4a+9=-12a+43-6a\)
\(-a+9=-12a+43-6a\)
\(-a+9=-18a+43\)
\(-a+9+18a=43\)
\(17a+9=43\)
\(17a=43-9\)
\(17a=34\)
\(a=34:17\)
\(a=2\)

The answer is: a=2