Given the equation:
2(2q + 1.5) = 18 - q
Let's solve the equation for q.
Take the following steps:
• Step 1:
Apply distributive property to the terms on the left hand side
2(2q + 1.5) = 18 - q
2(2q) + 2(1.5) = 18 - q
4q + 3 = 18 - q
• Step 2:
Add q to both sides of the equation
4q + q + 3 = 18 - q + q
5q + 3 = 18 + 0
5q + 3 = 18
• Step 3:
Subtract 3 from both sides of the equation
5q + 3 - 3 = 18 - 3
5q + 0 = 15
5q = 15
• Step 4:
Divide both sides of the equation by 5
[tex]\begin{gathered} \frac{5q}{5}=\frac{15}{5} \\ \\ q=3 \end{gathered}[/tex]ANSWER:
q = 3
