Solve the given linear equation using addition and subtraction properties of equality.
$m-9=-6$

• A. $m=-3$
• B. $m=9$
• C. $m=3$
• D. $m=-6$

Answer: (C)

Verified step by step guidance

1. Start with the given equation: \(m - 9 = -6\).
2. To isolate \(m\), use the addition property of equality by adding 9 to both sides of the equation: \(m - 9 + 9 = -6 + 9\).
3. Simplify both sides: on the left, \(-9 + 9\) cancels out, leaving \(m\); on the right, calculate \(-6 + 9\).
4. Write the simplified equation: \(m = -6 + 9\).
5. Perform the addition on the right side to find the value of \(m\).