Answer :
Sure! Let's solve the equation step by step to find the value of [tex]\( c \)[/tex].
The given equation is:
[tex]\[ 4.74 - 30c = -43 - 82c - 4.26 \][/tex]
1. Combine the constant terms on the right side:
[tex]\(-43 - 4.26\)[/tex] simplifies to [tex]\(-47.26\)[/tex].
So, the equation becomes:
[tex]\[ 4.74 - 30c = -47.26 - 82c \][/tex]
2. Get all the [tex]\( c \)[/tex] terms on one side:
To do this, add [tex]\( 82c \)[/tex] to both sides of the equation:
[tex]\[ 4.74 - 30c + 82c = -47.26 \][/tex]
Simplifying, the equation becomes:
[tex]\[ 4.74 + 52c = -47.26 \][/tex]
3. Solve for [tex]\( c \)[/tex]:
Isolate the [tex]\( c \)[/tex] term by subtracting [tex]\( 4.74 \)[/tex] from both sides:
[tex]\[ 52c = -47.26 - 4.74 \][/tex]
Simplifying the right side gives:
[tex]\[ 52c = -52 \][/tex]
4. Divide by 52 to solve for [tex]\( c \)[/tex]:
[tex]\[ c = \frac{-52}{52} \][/tex]
Simplifying gives:
[tex]\[ c = -1 \][/tex]
So, the solution for [tex]\( c \)[/tex] is [tex]\(-1\)[/tex].
The given equation is:
[tex]\[ 4.74 - 30c = -43 - 82c - 4.26 \][/tex]
1. Combine the constant terms on the right side:
[tex]\(-43 - 4.26\)[/tex] simplifies to [tex]\(-47.26\)[/tex].
So, the equation becomes:
[tex]\[ 4.74 - 30c = -47.26 - 82c \][/tex]
2. Get all the [tex]\( c \)[/tex] terms on one side:
To do this, add [tex]\( 82c \)[/tex] to both sides of the equation:
[tex]\[ 4.74 - 30c + 82c = -47.26 \][/tex]
Simplifying, the equation becomes:
[tex]\[ 4.74 + 52c = -47.26 \][/tex]
3. Solve for [tex]\( c \)[/tex]:
Isolate the [tex]\( c \)[/tex] term by subtracting [tex]\( 4.74 \)[/tex] from both sides:
[tex]\[ 52c = -47.26 - 4.74 \][/tex]
Simplifying the right side gives:
[tex]\[ 52c = -52 \][/tex]
4. Divide by 52 to solve for [tex]\( c \)[/tex]:
[tex]\[ c = \frac{-52}{52} \][/tex]
Simplifying gives:
[tex]\[ c = -1 \][/tex]
So, the solution for [tex]\( c \)[/tex] is [tex]\(-1\)[/tex].
