How do you solve #-8( - 84.7w + 7.42) = 7( 17.7+ 99w )#?

1 Answer
Andy Y.
May 21, 2017

#w=-11.9#

Explanation:

Step 1. Apply the distributive rule and multiply _8 and 7 through
#677.6w-59.36=123.9+693w#

Step 2. Combine like terms on each side of the equation
#15.4w=-183.26#

Step 3. Divide both sides by 15.4
#w=-11.9#

Step 4. Plug back in to the original to verify
#-8(-84.7w+7.42)=7(17.7+99w)#
#-8(-84.7(-11.9)+7.42)=7(17.7+99(-11.9))#
#-8(1007.93+7.42)=7(17.7-1178.1)#
#-8(1015.35)=7(-1160.4)#
#-8122.8=-8122.8" "color(green)(sqrt())#

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