To solve for [tex]\( s \)[/tex] in the equation [tex]\( 5(6 + s) = 35 \)[/tex], we can follow these steps:
1. Distribute the 5 on the left side of the equation:
[tex]\[ 5 \cdot 6 + 5 \cdot s \][/tex]
Simplifying, we get:
[tex]\[ 30 + 5s \][/tex]
2. Now, the equation is:
[tex]\[ 30 + 5s = 35 \][/tex]
3. Next, we need to isolate the term with [tex]\( s \)[/tex]. To do this, subtract 30 from both sides of the equation:
[tex]\[ 30 + 5s - 30 = 35 - 30 \][/tex]
Simplifying both sides, we get:
[tex]\[ 5s = 5 \][/tex]
4. Finally, to solve for [tex]\( s \)[/tex], divide both sides of the equation by 5:
[tex]\[ s = \frac{5}{5} \][/tex]
Simplifying this, we have:
[tex]\[ s = 1 \][/tex]
Therefore, the value of [tex]\( s \)[/tex] is [tex]\( 1 \)[/tex].
