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Solve the equation for the variable k: 30/k+1=4 .(1 point) Responses 1/6 Start Fraction 1 over 6 End Fraction 6 6 10 10 1/10Question
Solve the equation for the variable k: 30k+1=4 .(1 point) Responses 16 Start Fraction 1 over 6 End Fraction 10 10 6 6 110
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Answered by
GPT-4o mini
To solve the equation \( 30k + 1 = 4 \), we will start by isolating \( k \).
1. Subtract 1 from both sides of the equation:
\[
30k + 1 - 1 = 4 - 1
\]
which simplifies to:
\[
30k = 3
\]
2. Next, divide both sides by 30:
\[
k = \frac{3}{30}
\]
3. Simplify the fraction:
\[
k = \frac{1}{10}
\]
Therefore, the solution for \( k \) is \( \frac{1}{10} \).
1. Subtract 1 from both sides of the equation:
\[
30k + 1 - 1 = 4 - 1
\]
which simplifies to:
\[
30k = 3
\]
2. Next, divide both sides by 30:
\[
k = \frac{3}{30}
\]
3. Simplify the fraction:
\[
k = \frac{1}{10}
\]
Therefore, the solution for \( k \) is \( \frac{1}{10} \).
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