Question

select the correct answer.
the steps for solving the given equation are shown below.
\boxed{\frac{-3x - 7}{4} = 11}
\

$$\begin{tabular}{|c|c|} \\hline steps & justifications \\\\ \\hline $\\frac{-3x - 7}{4} \\cdot 4 = 11 \\cdot 4$ & 1. multiplication property of equality \\\\ $-3x - 7 = 44$ & 2. simplification \\\\ $-3x - 7 + 7 = 44 + 7$ & 3. ??? \\\\ $-3x = 51$ & 4. simplification \\\\ $\\frac{-3x}{-3} = \\frac{51}{-3}$ & 5. division property of equality \\\\ $x = -17$ & 6. simplification \\\\ \\hline \\end{tabular}$$

select the correct property for the missing justification in the table.
\bigcirc multiplication property of equality
\bigcirc addition property of equality
\bigcirc division property of equality
\bigcirc subtraction property of equality

Explanation:

To determine the missing justification, we analyze the step \(-3x - 7 + 7 = 44 + 7\). The addition property of equality states that if we add the same number to both sides of an equation, the equation remains true. Here, we added 7 to both sides of \(-3x - 7 = 44\), so the justification is the addition property of equality.

Answer:

B. addition property of equality