Question

2(2q + 1.5) = 18 - q

Answer 1

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

`\begin{gathered} (5q)/(5)=(15)/(5) \\ \\ q=3 \end{gathered}`

ANSWER:

q = 3