How do you solve -14z + 11= - 18+ z - 16?

2 Answers
Dec 16, 2017

z=3

Refer to the explanation for the process.

Explanation:

Solve:

-14z+11=-18+z-16

Subtract 11 from both sides.

-14z=-18+z-16-11

Simplify.

-14z=z-45

Subtract z from both sides.

-14z-z=-45

Simplify.

-15z=-45

Divide both sides by -15.

z=(-45)/(-15) larr Two negatives make a positive.

Simplify.

z=3

Dec 16, 2017

z = 3

Explanation:

First combine like terms,

-14z + 11 = -18 - 16 +z

-14z + 11 = -34 +z

Subtract 11 on both sides,

-14z + 11 = -34 + z
color(white)(xxxx) (-11 color(white)(xx) -11)/
-14z = -45 + z

Subtract z on both sides,

-14z = -45 + z
color(white)(x) (-z color(white)(xxxxxx) -z)/
-15z = -45

Divide by -15,

(-15z)/-15 = (-45)/-15

z = 3