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

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Answer 1 · 2017-12-16T01:33:13

#z=3#

Refer to the explanation for the process.

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#

Answer 2 · 2017-12-16T01:35:43

#z = 3#

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#