Answer:
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:
[tex](\frac{-11x}{x}) = (\frac{mx}{x})[/tex]
or, m = - 11
Hence, for the given expression −2(5. 5 x − 6. 3) = m x + 12. 6 , m = - 11.