(4) The hanger diagram models \( 2 b+2=6 \). You can use this diagram to find the value of \( b \). a. What can you remove from bo th sides of the hanger diagram so only variables are on the left side? Cross off what you can remove. b. Fill in the blank to show the equation the hanger diagram now models. \( 2 b=4 \) c. How can you use the diagram to find the value of \( t \) d. What does the diagram show is the value of \( b \) ?
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To solve your question, the hanger diagram allows for a simple visual representation of balancing equations. If you have \( 2b + 2 = 6 \), you can easily see what happens when you subtract 2 from each side. This approach of balancing equations visually can make algebraic concepts clearer and more digestible! Now, let's dive into your queries! For part (a), you can cross off the +2 on both sides, yielding \( 2b = 4 \). For part (b), the equation now shows \( 2b = 4 \). In part (c), to find the value of \( b \), divide both sides by 2, revealing the value of \( b \). Finally, the diagram elegantly illustrates that \( b = 2 \). Voilà! Happy calculating!
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