-14 = 2/3t
First, we can go ahead and change 2/3t to 2t/3. This will make it slightly easier to solve since the variable is now part of the fraction.
[tex]-14 = \frac{2t}{3} [/tex]
Second, since our goal is to get the variable (t) on one side by itself, our first step for this goal is to multiply each side by 3. This will remove the fraction.
[tex]-14 \times 3 = 2t[/tex]
Third, we can now simplify -14 × 3. You can either do this via calculator, long multiplication, etc. -14 × 3 = -42.
[tex]-42 = 2t[/tex]
Fourth, continuing our goal, we can now divide each side by 2. This will get our variable (t) by itself.
[tex]- \frac{42}{2} = t[/tex]
Fifth, let's simplify the fraction. To do this, we can ask ourselves what multiples with 2 to equal 42? Or, 42 ÷ 2 = 21. Don't forget to put a negative sign in front of it, since our fraction carried it. We can also go ahead and switch sides.
[tex]t = -21[/tex]
Answer: [tex]\fbox {t = -21} [/tex]
