Question

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions.

4q + 12 = 17q + 12

Combine like terms:
21q =

Subtract 12 from both sides:
q =

Divide both sides by 21:
q =

Answer 1

To solve the equation 4q + 12 = 17q + 12, combine like terms, subtract 12 from both sides, and divide both sides by 4 to isolate the variable q.

Step-by-step explanation:

To solve the equation 4q + 12 = 17q + 12, we need to combine like terms first. The like terms on both sides of the equation are the constant 12. Therefore, the equation simplifies to 4q = 17q.

Next, we can subtract 12 from both sides of the equation to isolate the variable. So, 4q - 12 = 17q - 12 simplifies to 4q = 17q - 12.

Finally, to solve for q, we divide both sides of the equation by the coefficient of q, which is 4. So, q = (17q - 12)/4.