Final answer:
To solve the equation 3(q-7)=27q, apply the distributive property to get rid of the parentheses and simplify the expression. Then, isolate the variable q on one side of the equation. Finally, divide both sides of the equation by the coefficient of q to solve for q. The final peoduct is -7/8.
Step-by-step explanation:
To solve the equation 3(q-7)=27q, we need to apply the distributive property to get rid of the parentheses. We can do this by multiplying 3 with both q and -7:
3(q-7) = 3*q - 3*7 = 3q - 21.
Now we can rewrite the equation:
3q - 21 = 27q.
Next, we need to isolate the variable q on one side of the equation. We can do this by subtracting 3q from both sides:
-21 = 27q - 3q.
Combining like terms, we get:
-21 = 24q.
Finally, divide both sides of the equation by 24 to solve for q:
q = -21/24 = -7/8.