SOLUTION: Please help me solve this equation: 6(r-8)+5>7(r+2)-22

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Question 123710:
Please help me solve this equation:
6(r-8)+5>7(r+2)-22

Found 2 solutions by Fombitz, checkley71:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Distributive property, both sides.
Simplify.
Subtract (7r) from both sides.
Simplify.
Add 43 to both sides.

Multiply both sides by (-1), change direction of inequality sign.

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
6(R-8)+5>7(R+2)-22
6R-48+5>7R+14-22
6R-7R>14-22+48-5
-R>35
R<-35 WHEN YOU DIVIDE BY A NEGATIVE THE > SIGN CHANGES TO A < SIGN.
PROOF.
LET R=-35.1
6(-35.1-8)+5>7(-35.1+2)-22
6*-43.1+5>7*-33.1-22
-256.6+5>-231.7-22
-251.6>-253.7

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