-4/5t+2/5=2/3
what is the value of t?

t= -1/3

Step-by-step explanation:

Multiply both sides of the equation by 15

-12t+6=10

Move constant to the right-hand side and change its sign

-12t=10-6

Subtract the numbers

-12t=4

Divide both sides of the equation by -12

t=-1/3

Alternative form:

t=-0.3333333333333333

Step-by-step explanation:

The key to solving word problems is in translation: turning word into  math

Below is a general approach to most/any word problem

1. Read through the whole question once, without lingering over details, to get some sense of the overall problem

2. identify and label the variables or unknowns in a way that makes it easy to remember what they stand for.

3. translate the problem into one or more equations, sentence by sentence, and be careful of the order in which you translate the terms

4. solve the equation(s)

5. check your work