Answer :

To solve the equation [tex]\(5s + 2s + 4s - 5s = 6\)[/tex], follow these steps:

1. Combine Like Terms:
- On the left side of the equation, you have several terms involving [tex]\(s\)[/tex]:
[tex]\[
5s + 2s + 4s - 5s
\][/tex]
- Add and subtract these coefficients of [tex]\(s\)[/tex]:
[tex]\[
(5 + 2 + 4 - 5)s = 6s
\][/tex]

2. Simplify the Equation:
- The equation now simplifies to:
[tex]\[
6s = 6
\][/tex]

3. Solve for [tex]\(s\)[/tex]:
- To isolate [tex]\(s\)[/tex], divide both sides of the equation by 6:
[tex]\[
s = \frac{6}{6}
\][/tex]

4. Simplify the Division:
- Simplifying [tex]\(\frac{6}{6}\)[/tex] gives:
[tex]\[
s = 1
\][/tex]

Therefore, the solution to the equation is [tex]\(s = 1\)[/tex].

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