Sure, let's solve the equation step-by-step to find the value of [tex]\( c \)[/tex] and subsequently determine [tex]\( 24c \)[/tex].
The given equation is:
[tex]\[ 5c - 2 = 3c \][/tex]
First, we want to isolate the terms involving [tex]\( c \)[/tex] on one side of the equation.
Step 1: Subtract [tex]\( 3c \)[/tex] from both sides of the equation to start isolating [tex]\( c \)[/tex]:
[tex]\[ 5c - 2 - 3c = 3c - 3c \][/tex]
This simplifies to:
[tex]\[ 2c - 2 = 0 \][/tex]
Step 2: Add 2 to both sides of the equation to further isolate [tex]\( c \)[/tex]:
[tex]\[ 2c - 2 + 2 = 0 + 2 \][/tex]
This results in:
[tex]\[ 2c = 2 \][/tex]
Step 3: Divide both sides of the equation by 2 to solve for [tex]\( c \)[/tex]:
[tex]\[ \frac{2c}{2} = \frac{2}{2} \][/tex]
This simplifies to:
[tex]\[ c = 1 \][/tex]
Now, we need to find the value of [tex]\( 24c \)[/tex]:
[tex]\[ 24c = 24 \cdot 1 = 24 \][/tex]
Therefore, the value of [tex]\( 24c \)[/tex] is:
[tex]\[ 24 \][/tex]
So, given the choices, the correct answer is:
[tex]\[ 24 \][/tex]
