Question

solve for s.

\\\frac{4s - 2}{7} = 6\\

\\(s = ?\\)

Explanation:

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<reasoning>

Isolate the numerator by multiplying both sides

Using the Linear Equations and One-Step Equations knowledge points
\[

$$\begin{aligned} \frac{4s - 2}{7} \cdot 7 &= 6 \cdot 7 \\ 4s - 2 &= 42 \end{aligned}$$

\]

Isolate the variable term by adding to both sides

Using the One-Step Equations knowledge point
\[

$$\begin{aligned} 4s - 2 + 2 &= 42 + 2 \\ 4s &= 44 \end{aligned}$$

\]

Solve for s by dividing both sides

Using the One-Step Equations knowledge point
\[

$$\begin{aligned} \frac{4s}{4} &= \frac{44}{4} \\ s &= 11 \end{aligned}$$

\]
</reasoning>

<answer>
Solve for s.

\[\frac{4s - 2}{7} = 6\]

s = <blank>11</blank>
</answer>

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Answer:

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<reasoning>

Isolate the numerator by multiplying both sides

Using the Linear Equations and One-Step Equations knowledge points
\[

$$\begin{aligned} \frac{4s - 2}{7} \cdot 7 &= 6 \cdot 7 \\ 4s - 2 &= 42 \end{aligned}$$

\]

Isolate the variable term by adding to both sides

Using the One-Step Equations knowledge point
\[

$$\begin{aligned} 4s - 2 + 2 &= 42 + 2 \\ 4s &= 44 \end{aligned}$$

\]

Solve for s by dividing both sides

Using the One-Step Equations knowledge point
\[

$$\begin{aligned} \frac{4s}{4} &= \frac{44}{4} \\ s &= 11 \end{aligned}$$

\]
</reasoning>

<answer>
Solve for s.

\[\frac{4s - 2}{7} = 6\]

s = <blank>11</blank>
</answer>

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