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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].
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].
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Rewritten by : Barada
