Final Answer: [tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]
Steps/Reasons/Explanation:
We will be trying to rewrite the equation. To do this we will move [tex]2f[/tex] to the left. Then, we will move [tex]ax + 3b[/tex] to the right.
Question: Solve for [tex]f[/tex]: [tex]ax + 3b = 2f[/tex].
Step 1: Rewrite the equation.
[tex]2f = ax + 3b[/tex]
Step 2: Divide each term by [tex]2[/tex] and simplify.
[tex]\frac{2f}{2} = \frac{ax}{2} + \frac{3b}{2}[/tex]
Step 3: Cancel out the common factor of [tex]2[/tex].
[tex]\frac{Cancel 2 f}{Cancel 2} = \frac{ax}{2} + \frac{3b}{2}[/tex]
Step 4: Divide [tex]f[/tex] by [tex]1[/tex].
[tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]
~I hope I helped you :)~
