Question

solve the equation below using balanced moves. whats the value of f? solve below, or solve on paper and then enter your answer on zearn. whats the value of f? 9(2f - 2) = 27f + 9 \\(f = \boxed{}\\)

Explanation:

Step1: Expand left-hand side

$9(2f-2)=18f-18$

Step2: Rewrite the equation

$18f-18=27f+9$

Step3: Subtract $18f$ from both sides

$18f-18-18f=27f+9-18f$
$-18=9f+9$

Step4: Subtract 9 from both sides

$-18-9=9f+9-9$
$-27=9f$

Step5: Divide by 9 on both sides

$\frac{-27}{9}=\frac{9f}{9}$
$f=-3$

Answer:

$f=-3$