We are asked to solve the equation $49 = 10k + 7$ for the variable $k$.

1. Problem Description

We are asked to solve the equation $49 = 10k + 7$ for the variable $k$.

2. Solution Steps

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

First, we subtract 7 from both sides of the equation:

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

$42 = 10k$

Next, we divide both sides of the equation by 10 to solve for $k$:

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

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

We can simplify the fraction $\frac{42}{10}$ by dividing both the numerator and denominator by 2:

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

We can also express this as a decimal:

$k = 4.2$

3. Final Answer

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