Answer: q = 16
Explanation:
When given the equation 3(q - 7) = 27, you would solve for the variable.
The variable in this equation is q, so we need to isolate the variable.
Solving process:
3(q - 7) = 27
lets distribute, due to the orders of PEMDAS.
PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
3(q - 7) = 27
distributing is multiplying the number correlated outside of the parenthesis with the inside components.
3q - 21 = 27
lets add 21 to both sides
3q = 48
now lets divide by 3 (we are trying to get q by itself)
q = 16
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To check if your solution is correct, you replace the value (16) of the variable (q) within the original equation:
3 (16 − 7) = 27
Following PEMDAS you get:
3(9) = 27
27 = 27 (meaning that the solution is correct)
Thank you.