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Math  /  Algebra

Question−44=−4−2b-44=-4-2 b

Studdy Solution

STEP 1

1. The equation −44=−4−2b -44 = -4 - 2b is asking us to solve for b b .
2. This is a linear equation with one variable.
3. We will use basic algebraic operations to isolate the variable.

STEP 2

1. Simplify the equation if necessary.
2. Isolate the term containing the variable b b .
3. Solve for b b .
4. Check the solution by substituting it back into the original equation.

STEP 3

The equation −44=−4−2b -44 = -4 - 2b is already simplified, so we can proceed to the next step.

STEP 4

To isolate the term containing b b , add 4 to both sides of the equation:
−44+4=−4−2b+4 -44 + 4 = -4 - 2b + 4
This simplifies to:
−40=−2b -40 = -2b

STEP 5

Now, to solve for b b , divide both sides of the equation by −2-2:
−40−2=−2b−2 \frac{-40}{-2} = \frac{-2b}{-2}
This simplifies to:
20=b 20 = b

STEP 6

Check the solution by substituting b=20 b = 20 back into the original equation:
−44=−4−2(20) -44 = -4 - 2(20)
Simplify the right-hand side:
−4−40=−44 -4 - 40 = -44
Both sides are equal, confirming that the solution is correct.
The solution is:
20 \boxed{20}

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