Solve each equation. Check your solution.

$6g-3.5=8.5$

We can add or subtract same quantities on both sides of the equation for separating the variable on one side of the equation and the numbers on the other side.

We are given the equation $6g-3.5=8.5$, we add $3.5$to both sides of the equation as shown:

$\begin{array}{l}6g-3.5+3.5=8.5+3.5\\ 6g=12\end{array}$

We can multiply or divide by same quantities on both sides of the equation for separating the variable on one side of the equation and the numbers on the other side.

We have the equation$6g=12$, we divide by $6$on both sides of the equation as shown:

$\begin{array}{l}\frac{6g}{6}=\frac{12}{6}\\ g=2\end{array}$

Thus the solution of the equation is $g=2$.

We substitute the value of the variable into the given equation:

$\begin{array}{l}6g-3.5=8.5\\ 6\times 2-3.5=8.5\\ 12--3.5=8.5\\ 8.5=8.5\end{array}$

Since, the above equation is satisfied, the solution $g=2$is verified.