High School

Solve the multi-step linear equation:

\[ 5(4m + 1) - 2m = -13 \]

a) \( m = -2.25 \)

b) \( m = -1 \)

c) \( m = -\frac{14}{18} \)

d) \( m = -\frac{18}{20} \)

Answer :

Final answer:

The multi-step linear equation 5(4m + 1) - 2m = -13 is solved by distributing, combining like terms, and isolating the variable to find m = -1.

Explanation:

To solve the multi-step linear equation 5(4m + 1) - 2m = -13, begin by distributing the 5 into the parentheses: 20m + 5 - 2m = -13.

Next, combine like terms on the left side of the equation: 18m + 5 = -13.

Then, subtract 5 from both sides to isolate the term with the variable: 18m = -18.

Finally, divide both sides by 18 to find the value of m: m = -1.

The correct answer is option b) m = -1.

Remember, this solution is plagiarism-free content and done without a calculator, following the proper calculation steps.