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Verified Answer :

The answer to your question is h=−4

Answer:

\(h=-4\)

Step-by-step explanation:

The equation is \(-3(h+5)+2=4(h+6)-9\) we need to find the value of h.

First we are going to distribute the products.

\(-3(h+5)+2=4(h+6)-9\\ -3h-15+2=4h+24-9\\ -3h-13=4h+15\)

We have to put the terms with letter h in the left side of the equation and the terms without h in the right side;

\(-3h-13=4h+15\\ -3h-4h=15+13\)

\(-7h=28\)

Now, for the last step we have to divide both sides of the equation in (-7):

\(-7h=28\\ \frac{(-7)h}{(-7)} =\frac{28}{(-7)} \\ h=-4\)