Answer :
Sure! Let's solve the equation step by step.
We are given the equation:
[tex]\[ \frac{f}{-7} - 7 = -2 \][/tex]
We need to find the value of [tex]\( f \)[/tex].
Step 1: Isolate [tex]\( \frac{f}{-7} \)[/tex].
To do this, we must add 7 to both sides of the equation:
[tex]\[ \frac{f}{-7} = -2 + 7 \][/tex]
Step 2: Simplify the right side.
Calculate [tex]\(-2 + 7\)[/tex]:
[tex]\[ \frac{f}{-7} = 5 \][/tex]
Step 3: Solve for [tex]\( f \)[/tex].
Multiply both sides by [tex]\(-7\)[/tex] to get rid of the fraction:
[tex]\[ f = 5 \times (-7) \][/tex]
Step 4: Finish the multiplication:
[tex]\[ f = -35 \][/tex]
So, the correct answer is [tex]\( f = -35 \)[/tex]. Therefore, the answer is option A: -35.
We are given the equation:
[tex]\[ \frac{f}{-7} - 7 = -2 \][/tex]
We need to find the value of [tex]\( f \)[/tex].
Step 1: Isolate [tex]\( \frac{f}{-7} \)[/tex].
To do this, we must add 7 to both sides of the equation:
[tex]\[ \frac{f}{-7} = -2 + 7 \][/tex]
Step 2: Simplify the right side.
Calculate [tex]\(-2 + 7\)[/tex]:
[tex]\[ \frac{f}{-7} = 5 \][/tex]
Step 3: Solve for [tex]\( f \)[/tex].
Multiply both sides by [tex]\(-7\)[/tex] to get rid of the fraction:
[tex]\[ f = 5 \times (-7) \][/tex]
Step 4: Finish the multiplication:
[tex]\[ f = -35 \][/tex]
So, the correct answer is [tex]\( f = -35 \)[/tex]. Therefore, the answer is option A: -35.
