College

Complete the process of solving the equation. Fill in all missing terms and select all missing descriptions. Simplify any fractions.

[tex]
\[
\begin{array}{rl}
-2(-4s+17) & = 4s + 2 \\
8s - 34 & = 4s + 2 \quad & \text{(Distribute the } -2 \text{ on the left side)} \\
8s - 4s - 34 & = 2 \quad & \text{(Subtract } 4s \text{ from both sides)} \\
4s - 34 & = 2 \\
4s & = 36 \quad & \text{(Add 34 to both sides)} \\
s & = 9 \quad & \text{(Divide both sides by } 4)
\end{array}
\]
[/tex]

Answer :

Sure! Let's solve the equation step by step.

We start with the given equation:

[tex]\[
-2(-4s + 17) = 4s + 2
\][/tex]

Step 1: Distribute the [tex]\(-2\)[/tex] on the left-hand side.

Multiply each term inside the parentheses by [tex]\(-2\)[/tex]:

[tex]\[
8s - 34 = 4s + 2
\][/tex]

Step 2: Move all terms involving [tex]\(s\)[/tex] to one side of the equation.

Subtract [tex]\(4s\)[/tex] from both sides to start isolating the terms with [tex]\(s\)[/tex]:

[tex]\[
8s - 4s - 34 = 2
\][/tex]

This simplifies to:

[tex]\[
4s - 34 = 2
\][/tex]

Step 3: Move the constant term to the other side.

Add 34 to both sides to get the term with [tex]\(s\)[/tex] alone:

[tex]\[
4s = 36
\][/tex]

Step 4: Solve for [tex]\(s\)[/tex].

Divide both sides by 4 to solve for [tex]\(s\)[/tex]:

[tex]\[
s = \frac{36}{4}
\][/tex]

[tex]\[
s = 9
\][/tex]

So, the solution to the equation is [tex]\(s = 9\)[/tex].