College

Solve for \( m \):

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

A. \( m = -\frac{14}{18} \)
B. \( m = -\frac{18}{20} \)
C. \( m = -1 \)
D. \( m = -2.25 \)

Answer :

[tex]20m + 5 - 2m = - 13 \\ 20m - 2m = - 13 - 5 \\ 18m = - 18 \\ \frac{18m}{18} = \frac{ - 18}{18} \\ m = - 1[/tex]

OPTION C IS THE ANSWER FOR IT MATCHES THE ANSWER IN THE CALCULATION.

Final answer:

This equation is solved by doing the distribution, simplifying, and isolating the variable m to find that m equals -1. Correct option is C.

Explanation:

To solve the equation 5(4m + 1) − 2m = −13, we begin by distributing 5 through the parentheses, which yields 20m + 5 − 2m, resulting in a simplified equation 18m + 5 = -13. Subtract 5 from both sides to get 18m = -18. Finally, divide both sides by 18 to get m = -1.

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