k/6 + 8 = 5

Understand the Problem

The question is asking us to solve for the variable k in the equation k/6 + 8 = 5. To do this, we will isolate k by performing algebraic operations.

Answer

The value of $k$ is $-18$.
Answer for screen readers

The value of $k$ is $-18$.

Steps to Solve

  1. Subtract 8 from both sides

To isolate the term containing $k$, subtract 8 from both sides of the equation:

$$ \frac{k}{6} + 8 - 8 = 5 - 8 $$

This simplifies to:

$$ \frac{k}{6} = -3 $$

  1. Multiply both sides by 6

Next, to eliminate the fraction, multiply both sides by 6:

$$ 6 \times \frac{k}{6} = -3 \times 6 $$

This simplifies to:

$$ k = -18 $$

The value of $k$ is $-18$.

More Information

Isolating variables is a common technique in algebra. By performing inverse operations, you can simplify and solve equations. Here, we used subtraction and multiplication to isolate $k$.

Tips

  • A common mistake is to forget to perform the same operation on both sides of the equation, leading to incorrect results. Always be sure to apply the operations uniformly.

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