How do you solve #39 - 12w = 7 - 16w#?

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Answer 1 · 2016-04-08T11:05:20

#w = -8#

Rearrange the equation so you have #w#'s on one side and normal numbers (constants) on the other.

#39 - 12w = 7 - 16w#
#39 - 7 - 12w = -16w#
#39 - 7 = - 16w + 12w#

Simplify this to

#32 = -4w#

and divide both sides by #4#,

#32/4 = (-4w)/4#

#8 = -w#

Therefore, if #8 = -w#, then #-8 = w#.