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.
Step-by-step 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.