Question

Solve the equation. 2 ( 4z - 1) = 3(z+2) Z=

Answer 1

Answer:

$z = \frac{8}{5}$

Step-by-step explanation:

Calculate for the value of $z$ :

$2(4z - 1) = 3(z + 2)$

-Use Distributive Property on both left and right:

$2(4z - 1) = 3(z + 2)$

$8z - 2 = 3z + 6$

-Take $3z$ and subtract $8z$ :

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

$5z - 2 = 6$

-Add $2$ to both sides:

$5z - 2 + 2 = 6 + 2$

$5z = 8$

-Take $5z$ and divide on both sides:

$\frac{5z}{5} = \frac{8}{5}$

$z = \frac{8}{5}$

Therefore, the value of $z$ is $\frac{8}{5}$.