Answer:
t = 1/9
Explanation:
Combine multiplied terms into a single fraction
-3/2 (t) + 1/3 = 2/4
3t/2+ 1/3 = 2/4
Find common denominator
3 x 3t/6 + 2/6 = 2/4
Combine fractions with common denominator
3 x 3t/6 + 2/6 = 2/4
3x3t + 2
/ 6= 2/4
Multiply the numbers
9t+2
/6 = 2/4
Divide the numbers
9t+2 divided by 6 is 1/2
Multiply all terms by the same value to eliminate fraction denominators
6 x 9t+2 divided by 6 = 6 x 1/2
Cancel multiplied terms that are in the denominator
9t+2=3
Subtract 2 from both sides
9t+2-2=3-2
Simplify
9t=1
Divide both sides by the same factor
9t/9+=1/9
Simplify
t= 1/9