Question

1. 8q + 6 = 4q - 14

Explanation:

Step1: Subtract \(4q\) from both sides

To get the variable terms on one side, we subtract \(4q\) from each side of the equation \(8q + 6 = 4q - 14\). This gives us \(8q - 4q + 6 = 4q - 4q - 14\), which simplifies to \(4q + 6 = -14\).

Step2: Subtract 6 from both sides

Next, we want to isolate the term with the variable. So we subtract 6 from both sides of the equation \(4q + 6 = -14\). This results in \(4q + 6 - 6 = -14 - 6\), which simplifies to \(4q = -20\).

Step3: Divide by 4

To solve for \(q\), we divide both sides of the equation \(4q = -20\) by 4. So \(\frac{4q}{4} = \frac{-20}{4}\), which gives \(q = -5\).

Answer:

\(q = -5\)