Answer:
[tex]\boxed{\displaystyle\huge \bf \: m = 21}[/tex]
Step by step explanation:
Given equation is :-
[tex]\sf \implies34=2m-8[/tex]
We have asked to find the value of m in the above equation.
Firstly, We need to overturn the equation.
That is:-
[tex]\sf \implies \: 2m - 8 = 34[/tex]
Then,Add 8 to both sides :-
[tex]\sf \implies2m - 8 + 8 = 34 + 8[/tex]
On Simplification:-
As we know (-) and (+) equals to (-), then -8+8 will be represented as 8-8.Result will be 0.
[tex]\sf \sf \implies2m - 0 = 34 + 8[/tex]
On adding 34+8,
[tex]\sf \implies \: 2m = 48[/tex]
Divide both sides by 2:-
[tex]\sf \implies \dfrac{2m}{2} = \dfrac{42}{2} [/tex]
On Simplification:-
Cancel 2/2, leave m,then cancel 42/2, which can be divided by 2.
[tex]\sf \longmapsto \dfrac{ \cancel2m}{ \cancel2} = \cancel\dfrac{42}{2} [/tex]
[tex]\sf \implies1m = 2[/tex]
[tex]\sf \implies \: m = 21[/tex]
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