Question

Solve for m.

14(8m+12)−7=−2


(1 point)
Responses

m=−3
m is equal to negative 3

m=11
m is equal to 11

m=1
m is equal to 1

m = −78

Answer 1

Let's solve the equation step by step:

Given:
\[ 14(8m + 12) - 7 = -2 \]

First, add 7 to both sides of the equation:

\[ 14(8m + 12) = -2 + 7 \]
\[ 14(8m + 12) = 5 \]

Next, divide both sides by 14:

\[ 8m + 12 = \frac{5}{14} \]

Now, subtract 12 from both sides:

\[ 8m = \frac{5}{14} - 12 \]

To combine the terms on the right side, we need a common denominator. We can express 12 as a fraction:

\[ 12 = \frac{168}{14} \]

Now, substituting this into the equation:

\[ 8m = \frac{5}{14} - \frac{168}{14} \]
\[ 8m = \frac{5 - 168}{14} \]
\[ 8m = \frac{-163}{14} \]

Next, divide both sides by 8:

\[ m = \frac{-163}{14 \times 8} \]
\[ m = \frac{-163}{112} \]

This result does not match any of the options given (m=−3, m=11, m=1, m = −78). Let's check the calculations again for clarity to ensure no errors were made.

The left side calculated through each individual step:
1. \(14 * 8m + 14 * 12 - 7\)
2. Which leads to error checks, leading at the boundary of negative values.

It seems it is an error check against available options.

None of the options presented match. Re-evaluation may suggest an issue with bounding options. Would help to provide feedback for any further inquiries.