We are given the equation $49 = 10k + 7$ and we need to solve for $k$.

1. Problem Description

We are given the equation $49 = 10k + 7$ and we need to solve for $k$.

2. Solution Steps

To solve the equation $49 = 10k + 7$ for $k$, we first need to isolate the term with $k$ on one side of the equation.

Subtract 7 from both sides of the equation:

$49 - 7 = 10k + 7 - 7$

$42 = 10k$

Now, to find $k$, divide both sides of the equation by 10:

$\frac{42}{10} = \frac{10k}{10}$

$\frac{42}{10} = k$

We can simplify the fraction by dividing both the numerator and the denominator by 2:

$k = \frac{21}{5}$

3. Final Answer

$k = \frac{21}{5}$