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Solve using inverse operations. Use the sketch pad to show your work: -4+2b=-40..

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To solve the equation \(-4 + 2b = -40\) using inverse operations, we will isolate the variable \(b\). Here are the steps:

  1. Add 4 to both sides to eliminate the -4 from the left side: \[ -4 + 2b + 4 = -40 + 4 \] This simplifies to: \[ 2b = -36 \]

  2. Divide both sides by 2 to solve for \(b\): \[ \frac{2b}{2} = \frac{-36}{2} \] This simplifies to: \[ b = -18 \]

So, the solution is \(b = -18\).

For visual representation, you may want to use Sketchpad or another graphing tool to illustrate the steps, but here's a simple breakdown you could present:

  • Start with the equation: \(-4 + 2b = -40\)
  • Show adding 4 to both sides: \(2b = -36\)
  • Show dividing both sides by 2: \(b = -18\)

If you're using software like Sketchpad, you can create a visual representation by plotting the steps, showing the manipulation of the equation at each stage.