To solve this equation, we must distribute and simplify on both sides:
Left side:2*(2/5z + 1) + 3 1/3= 4/5z + 2 + 3 1/3= 4/5z + 2 + 10/3= 4/5z + 6/3 + 10/3= 4/5z + 16/3
Right side:4 - 1/2*(4/5z - 1)= 4 - 2/5z + 1= 5 - 2/5z
Equating the two sides:4/5z + 16/3 = 5 - 2/5z
Now, we need to solve for z:
4/5z + 2/3 - 5 + 2/5z = 06/5z - 13/3 = 06z - 13*5/3 = 06z - 65/3 = 06z = 65/3z = 65/18
Therefore, the solution to the equation 2(2/5z + 1) + 3 1/3 = 4 - 1/2(4/5z - 1) is z = 65/18.
To solve this equation, we must distribute and simplify on both sides:
Left side:
2*(2/5z + 1) + 3 1/3
= 4/5z + 2 + 3 1/3
= 4/5z + 2 + 10/3
= 4/5z + 6/3 + 10/3
= 4/5z + 16/3
Right side:
4 - 1/2*(4/5z - 1)
= 4 - 2/5z + 1
= 5 - 2/5z
Equating the two sides:
4/5z + 16/3 = 5 - 2/5z
Now, we need to solve for z:
4/5z + 2/3 - 5 + 2/5z = 0
6/5z - 13/3 = 0
6z - 13*5/3 = 0
6z - 65/3 = 0
6z = 65/3
z = 65/18
Therefore, the solution to the equation 2(2/5z + 1) + 3 1/3 = 4 - 1/2(4/5z - 1) is z = 65/18.