Question

What is the solution to the equation -3(h+5)+2=4(h+6)-g

Answer 1

The solution to the equation -3(h + 5) + 2 = 4(h + 6) - g is h = -12 and g = -18.

Step-by-step explanation:

Distribute the negative signs:

-3(h + 5) + 2 = -3h - 15 + 2

Combine constant terms:

-3h - 15 + 2 = 4(h + 6) - g

-3h - 13 = 4h + 24 - g

Isolate h on one side:

-7h - 13 = 24 - g

-7h = 37 - g

h = (37 - g) / -7

Substitute h back into the original equation to solve for g:

-3(h + 5) + 2 = 4(h + 6) - g

-3((37 - g) / -7 + 5) + 2 = 4((37 - g) / -7 + 6) - g

-3(-12 - g + 35) + 2 = 4(-12 - g + 42) - g

Simplify both sides:

11g + 66 = -36g + 108

47g = 42

g = -18

Therefore, the solution is h = -12 and g = -18.

Answer 2

`h=-4(2)/(7)`

Step-by-step explanation:

The given equation is

-3(h+5)+2=4(h+6)-9

We expand to obtain;

-3h-15+2=4h+24-9

Group similar terms;

-3h-4h=24-9+15

Combine the similar terms;

-7h=30

Divide both sides by -7

`h=-(30)/(7)`

`h=-4(2)/(7)`