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