Question

Consider the equation "-7=1/2(z+12)"

Answer 1

-26

Explanation:

1. distribute
1/2z+6=-7
-7-6=-13
1/2z=-13
-13 / 1/2 = -13 x 2/1 = -26
z = -26

double check:
1/2(-26+12)
1/2 (-14)
1/2 = -14 = -7 ✔️✔️

Answer 2

`-7=(1)/(2) (z+12)`

Distribute:

`-7=((1)/(2) )(z)+((1)/(2) )(12)`

`(1)/(2) z+6=-7`

Subtract 6 from both sides:

`(1)/(2) z+6-6=-7-6`

`(1)/(2) z=-13`

Multiply both sides by 2:

`2*((1)/(2) z)=2*(-13)`

`\fbox{z = -26}`