Lauren31490
Answered

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Find the missing steps to solve the equation:

[tex]\[10 - n = 14\][/tex]

1. What is the first step?
2. What is the second step?
3. What is the value of [tex]\( n \)[/tex]?

[tex]\[
\begin{align*}
\text{First step:} & \quad 10 - n - 10 = 14 - 10 \\
\text{Second step:} & \quad -n = 4 \\
\text{Value of } n: & \quad n = -4
\end{align*}
\][/tex]

Sagot :

GinnyAnswer
Let's solve the equation step by step.

### Given Equation
[tex]\[ 10 - n = 14 \][/tex]

### First Step
To solve for [tex]\( n \)[/tex], we need to isolate the variable on one side of the equation. We can start by subtracting 10 from both sides of the equation:

[tex]\[ 10 - n - 10 = 14 - 10 \][/tex]

This simplifies to:

[tex]\[ -n = 4 \][/tex]

### Second Step
Next, we need to solve for [tex]\( n \)[/tex]. Since we have [tex]\( -n = 4 \)[/tex], we can multiply both sides of the equation by -1 to get rid of the negative sign:

[tex]\[ -1 \cdot (-n) = -1 \cdot 4 \][/tex]

This simplifies to:

[tex]\[ n = -4 \][/tex]

### Conclusion
The value of [tex]\( n \)[/tex] is [tex]\(-4\)[/tex].

So the steps are:

1. Subtract 10 from both sides to get:
[tex]\[ -n = 4 \][/tex]

2. Multiply both sides by -1 to isolate [tex]\( n \)[/tex]:
[tex]\[ n = -4 \][/tex]

Therefore, the value of [tex]\( n \)[/tex] is [tex]\(-4\)[/tex].
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