Questions: Solve for (w). [ 15.8-7 w=4.6 ] [ w= ]

Solve for (w). [ 15.8-7 w=4.6 ] [ w= ]
Transcript text: Solve for $w$. \[ 15.8-7 w=4.6 \] \[ w= \]
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Solution

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Solution Steps

Step 1: Isolate the Variable Term

To solve for \( w \), we need to isolate the term containing \( w \) on one side of the equation. Start by subtracting 15.8 from both sides of the equation:

\[ 15.8 - 7w - 15.8 = 4.6 - 15.8 \]

This simplifies to:

\[ -7w = -11.2 \]

Step 2: Solve for \( w \)

Next, divide both sides of the equation by \(-7\) to solve for \( w \):

\[ w = \frac{-11.2}{-7} \]

Simplifying the right side gives:

\[ w = 1.6 \]

Final Answer

\[ \boxed{w = 1.6} \]

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