To solve this equation, we first need to distribute the fractions:
(6/9)(t) - (6/9)(9) + (2.5/9)(18) - (2.5/9)(t) = 0.2
Simplify:
(2/3)t - 2.67 + 5 - (5/18)t = 0.2
Combine like terms:
(2/3 - 5/18)t - 2.67 + 5 = 0.2
Convert the fractions to have a common denominator:
(12/18 - 5/18)t - 2.67 + 5 = 0.2
(7/18) t + 2.33 = 0.2
Subtract 2.33 from both sides:
(7/18) t = -2.13
Now, multiply by the reciprocal of 7/18 to solve for t:
t = (-2.13) * (18/7)
t = -5.47
Therefore, the solution to the equation is t = -5.47.
To solve this equation, we first need to distribute the fractions:
(6/9)(t) - (6/9)(9) + (2.5/9)(18) - (2.5/9)(t) = 0.2
Simplify:
(2/3)t - 2.67 + 5 - (5/18)t = 0.2
Combine like terms:
(2/3 - 5/18)t - 2.67 + 5 = 0.2
Convert the fractions to have a common denominator:
(12/18 - 5/18)t - 2.67 + 5 = 0.2
(7/18) t + 2.33 = 0.2
Subtract 2.33 from both sides:
(7/18) t = -2.13
Now, multiply by the reciprocal of 7/18 to solve for t:
t = (-2.13) * (18/7)
t = -5.47
Therefore, the solution to the equation is t = -5.47.