Given equation: Start with the given equation 7b−15=5b−3.We want to isolate b, so we will move all the terms containing b to one side and the constant terms to the other side.
Move terms: Subtract 5b from both sides to get the b terms on one side.7b−15−5b=5b−3−5bThis simplifies to:2b−15=−3
Subtract 5b: Add 15 to both sides to isolate the term with b. 2b−15+15=−3+15 This simplifies to: 2b=12
Add 15: Divide both sides by 2 to solve for b.22b=212This simplifies to:b=6
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