Question

4(2z-3)+3=2(z+3)-3(z+1)​

Answer 1

Answer:

4/3

Step-by-step explanation:

8z-12+3=2z+6-3z-3

8z-9=-z+3

9z=12

z=12/3 =4/3

Answer 2

The value of "z" in 4(2z-3)+3=2(z+3)-3(z+1)​ is 4/3

Solution:

Given, expression is 4(2z – 3) + 3 = 2(z + 3) – 3(z + 1)

We have to simplify the given expression and find value of z.

Now, 4(2z – 3) + 3 = 2(z + 3) – 3(z + 1)

4 × (2z – 3) + 3 = 2 × (z + 3) – 3 ×  (z + 1)

4 × 2z – 4 × 3 + 3 = 2 × z + 2 × 3 – 3 × z – 3 × 1

8z – 12 + 3 = 2z + 6 – 3z – 3  

8z – 9 = -z + 3  

8z + z = 3 + 9  

9z = 12  

3z = 4 = $\frac{4}{3}$

Hence, the value of z is $\frac{4}{3}$