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Math  /  Algebra

Question40−n=24n=\begin{array}{l}40-n=24 \\ n=\end{array}

Studdy Solution

STEP 1

1. The equation 40−n=24 40 - n = 24 is asking us to solve for n n .
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically subtraction.

STEP 2

1. Think about what the equation says.
2. Isolate the variable n n by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

The equation 40−n=24 40 - n = 24 is saying that if you subtract a number n n from 40, you get 24.

STEP 4

To isolate n n , we need to get rid of the 40 on the left side. We can do this by subtracting 40 from both sides of the equation:
40−n−40=24−40 40 - n - 40 = 24 - 40

STEP 5

Simplify both sides of the equation:
−n=−16 -n = -16
To solve for n n , multiply both sides by −1-1 to get rid of the negative sign:
n=16 n = 16

STEP 6

We should always check the solution by substituting it back into the original equation.
Substitute n=16 n = 16 :
40−16=24 40 - 16 = 24
We are checking, does the left-hand side equal the right-hand side?

STEP 7

Simplify both sides separately:
24=24 24 = 24
Yes! Both sides are equal.
Therefore, the solution is:
16 \boxed{16}

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