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7(r+7)+8(4r+7)=7r-3r
We move all terms to the left:
7(r+7)+8(4r+7)-(7r-3r)=0
We add all the numbers together, and all the variables
7(r+7)+8(4r+7)-(+4r)=0
We multiply parentheses
7r+32r-(+4r)+49+56=0
We get rid of parentheses
7r+32r-4r+49+56=0
We add all the numbers together, and all the variables
35r+105=0
We move all terms containing r to the left, all other terms to the right
35r=-105
r=-105/35
r=-3
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