If −2(5. 5x − 6. 3) is equivalent to mx + 12. 6, what is the value of m?

For the given expression −2(5. 5 x − 6. 3)  =  m x + 12. 6 , m =  - 11.

Step-by-step explanation:

Here, the given expression is:

−2(5. 5 x − 6. 3)  =  m x + 12. 6

Using DISTRIBUTIVE PROPERTY: A (B- C)  = AB - AC

Simplifying it further, we get:

-2( 5.5 x)  +  2( 6.3)  = m x +  12 . 6

or, - 11 x + 12. 6  = m x +  12 . 6

or, - 11 x  =  m x

Now, dividing both sides by x, we get:

or, m = - 11

Hence, for the given expression −2(5. 5 x − 6. 3)  =  m x + 12. 6 , m =  - 11.

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