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

1 Answer
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)
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