Answer :
Of course, let's solve for the variable [tex]\( m \)[/tex] in the given equation:
[tex]\[ -3.2m - 7 = 18.6 \][/tex]
### Step-by-Step Solution:
1. Isolate the term with [tex]\( m \)[/tex] on one side of the equation.
To do this, we first need to eliminate the constant term on the left side. We can do this by adding 7 to both sides of the equation:
[tex]\[ -3.2m - 7 + 7 = 18.6 + 7 \][/tex]
Simplifying this, we get:
[tex]\[ -3.2m = 25.6 \][/tex]
2. Solve for [tex]\( m \)[/tex] by isolating it.
Now, we need to get [tex]\( m \)[/tex] by itself. This is done by dividing both sides of the equation by [tex]\(-3.2\)[/tex]:
[tex]\[ m = \frac{25.6}{-3.2} \][/tex]
3. Calculate the value.
Perform the division to find the value of [tex]\( m \)[/tex]:
[tex]\[ m = -8 \][/tex]
### Conclusion:
Thus, the solution to the equation [tex]\( -3.2m - 7 = 18.6 \)[/tex] is:
[tex]\[ m = -8 \][/tex]
[tex]\[ -3.2m - 7 = 18.6 \][/tex]
### Step-by-Step Solution:
1. Isolate the term with [tex]\( m \)[/tex] on one side of the equation.
To do this, we first need to eliminate the constant term on the left side. We can do this by adding 7 to both sides of the equation:
[tex]\[ -3.2m - 7 + 7 = 18.6 + 7 \][/tex]
Simplifying this, we get:
[tex]\[ -3.2m = 25.6 \][/tex]
2. Solve for [tex]\( m \)[/tex] by isolating it.
Now, we need to get [tex]\( m \)[/tex] by itself. This is done by dividing both sides of the equation by [tex]\(-3.2\)[/tex]:
[tex]\[ m = \frac{25.6}{-3.2} \][/tex]
3. Calculate the value.
Perform the division to find the value of [tex]\( m \)[/tex]:
[tex]\[ m = -8 \][/tex]
### Conclusion:
Thus, the solution to the equation [tex]\( -3.2m - 7 = 18.6 \)[/tex] is:
[tex]\[ m = -8 \][/tex]
