Answer:
m = -36/11
Explanation:
Start with the equation: -m/-3 = −4 ⋅ ( − m — 3 )
2. Simplify the left side of the equation by canceling out the negatives: -m/-3 becomes m/3.
3. Simplify the right side of the equation by distributing the negative sign: −4 ⋅ ( − m — 3 ) becomes 4m + 12.
after simplification, we have: m/3 = 4m + 12.
Now, let's analyze the error in this step. The mistake occurs when distributing the negative sign to both terms inside the parentheses. The correct distribution should be:
−4 ⋅ ( − m — 3 ) = 4m + (-4)⋅(-3)
By multiplying -4 with -3, we get a positive value of 12. Therefore, the correct simplification should be:
−4 ⋅ ( − m — 3 ) = 4m + 12
solving the equation correctly:
Start with the corrected equation: m/3 = 4m + 12
To eliminate fractions, multiply both sides of the equation by 3: (m/3) * 3 = (4m + 12) * 3
This simplifies to: m = 12m + 36
Next, isolate the variable terms on one side of the equation. Subtract 12m from both sides: m - 12m = 12m + 36 - 12m
Simplifying further, we get: -11m = 36
Finally, solve for m by dividing both sides of the equation by -11: (-11m)/(-11) = 36/(-11)
This yields: m = -36/11