Questions: Solve the following equation: 3.4(s-5)-2.1=8.1 s=

Solve the following equation: 3.4(s-5)-2.1=8.1 s=
Transcript text: Solve the following equation: \[ \begin{array}{l} 3.4(\mathrm{~s}-5)-2.1=8.1 \\ \mathrm{~s}= \end{array} \]
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Solution

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Solution Steps

Step 1: Distribute the 3.4

Multiply \( 3.4 \) by \( \mathrm{s} \) and \( -5 \): \[ 3.4(\mathrm{s} - 5) = 3.4\mathrm{s} - 17 \]

Step 2: Combine like terms

Subtract \( 2.1 \) from both sides of the equation: \[ 3.4\mathrm{s} - 17 - 2.1 = 8.1 \] \[ 3.4\mathrm{s} - 19.1 = 8.1 \]

Step 3: Isolate the variable term

Add \( 19.1 \) to both sides to isolate the term with \( \mathrm{s} \): \[ 3.4\mathrm{s} = 8.1 + 19.1 \] \[ 3.4\mathrm{s} = 27.2 \]

Step 4: Solve for \( \mathrm{s} \)

Divide both sides by \( 3.4 \) to solve for \( \mathrm{s} \): \[ \mathrm{s} = \frac{27.2}{3.4} \] \[ \mathrm{s} = 8 \]

Final Answer

\(\boxed{s = 8}\)

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