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------------------------------------------------ Solve for [tex] m [/tex]:

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

Options:
A. [tex] m = -14 [/tex]
B. [tex] m = -\frac{18}{20} [/tex]
C. [tex] m = -1 [/tex]
D. [tex] m = -2.25 [/tex]

Sure! Let's solve the equation step-by-step:

Given equation:
[tex]\[ 5(4m + 1) - 2m = -13 \][/tex]

### Step 1: Distribute the 5 inside the parentheses
[tex]\[ 5 \times 4m + 5 \times 1 - 2m = -13 \][/tex]
[tex]\[ 20m + 5 - 2m = -13 \][/tex]

### Step 2: Combine like terms
Combine the [tex]$20m$[/tex] and [tex]$-2m$[/tex]:
[tex]\[ 20m - 2m + 5 = -13 \][/tex]
[tex]\[ 18m + 5 = -13 \][/tex]

### Step 3: Subtract 5 from both sides to isolate the term with the variable
[tex]\[ 18m + 5 - 5 = -13 - 5 \][/tex]
[tex]\[ 18m = -18 \][/tex]

### Step 4: Divide both sides by 18 to solve for [tex]$m$[/tex]
[tex]\[ m = \frac{-18}{18} \][/tex]
[tex]\[ m = -1 \][/tex]

So, the solution to the equation [tex]$ 5(4m + 1) - 2m = -13 $[/tex] is:
[tex]\[ m = -1 \][/tex]

Therefore, the correct answer is [tex]$ m = -1 $[/tex].