Answer :

Let's solve each equation step by step to find the value of [tex]\( s \)[/tex].

1. Equation: [tex]\( s + 24 = 90 \)[/tex]
- To find [tex]\( s \)[/tex], you need to subtract 24 from both sides:
[tex]\[
s = 90 - 24 = 66
\][/tex]

2. Equation: [tex]\( s + 24 = -114 \)[/tex]
- To solve for [tex]\( s \)[/tex], subtract 24 from both sides:
[tex]\[
s = -114 - 24 = -138
\][/tex]

3. Equation: [tex]\( s + 24 = -66 \)[/tex]
- Subtract 24 from both sides to find [tex]\( s \)[/tex]:
[tex]\[
s = -66 - 24 = -90
\][/tex]

4. Equation: [tex]\( s + 24 = 66 \)[/tex]
- To get [tex]\( s \)[/tex], subtract 24 from both sides:
[tex]\[
s = 66 - 24 = 42
\][/tex]

5. Equation: [tex]\( s + 24 = 114 \)[/tex]
- Subtract 24 from both sides to solve for [tex]\( s \)[/tex]:
[tex]\[
s = 114 - 24 = 90
\][/tex]

The solutions for [tex]\( s \)[/tex] in each respective equation are: [tex]\( 66, -138, -90, 42, \)[/tex] and [tex]\( 90 \)[/tex].