What is the value of q in the equation 75 = 8q + 7q where q = -4 and q = 5?

To solve the equation ( 75 = 8q + 7q ), first, combine the like terms on the right side:

[

75 = (8q + 7q) = 15q

]

Next, isolate ( q ) by dividing both sides by 15:

[

q = frac{75}{15} = 5

]

So the correct solution is ( q = 5 ).

The option ( q = -4 ) does not satisfy the equation. Great job working through this! If you have more questions or need further help, feel free to ask!