Question

3z + 6 (m-5) =-48 solve for z

Answer 1

Answer:

$z=2m+6$

Step-by-step explanation:

$3z+6(m-5)=-48\\6(m-5)+48=3z\\6m-30+48=3z\\6m+18=3z$

$\frac{6m+18}{3} =\frac{3z}{3}$

$2m+6=z$

Answer 2

Answer:

z = -2(m + 3)

Step-by-step explanation:

Given :

• 3z + 6(m - 5) = -48

Divide throughout by 3 :

• 1/3 x (3z + 6(m - 5)) = -48 x 1/3
• z + 2(m - 5) = -16

Subtract 2(m - 5) on each side :

• z + 2(m - 5) - 2(m - 5) = -16 - 2(m - 5)
• z = -16 - 2(m - 5)

Simplify the RHS :

• z = -16 - 2m + 10
• z = -2m - 6
• z = -2(m + 3)